{"id":"https://openalex.org/W2967771297","doi":"https://doi.org/10.1007/s41468-020-00054-y","title":"On homotopy types of Vietoris\u2013Rips complexes of metric gluings","display_name":"On homotopy types of Vietoris\u2013Rips complexes of metric gluings","publication_year":2020,"publication_date":"2020-05-20","ids":{"openalex":"https://openalex.org/W2967771297","doi":"https://doi.org/10.1007/s41468-020-00054-y","mag":"2967771297"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-020-00054-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-020-00054-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1712.06224","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Micha\u0142 Adamaszek","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Micha\u0142 Adamaszek","raw_affiliation_strings":["MOSEK ApS, Copenhagen, Denmark"],"affiliations":[{"raw_affiliation_string":"MOSEK ApS, Copenhagen, Denmark","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Henry Adams","orcid":null},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henry Adams","raw_affiliation_strings":["Department of Mathematics, Colorado State University, Fort Collins, CO, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Colorado State University, Fort Collins, CO, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ellen Gasparovic","orcid":null},"institutions":[{"id":"https://openalex.org/I177328695","display_name":"Union College","ror":"https://ror.org/058w5nk68","country_code":"US","type":"education","lineage":["https://openalex.org/I177328695"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ellen Gasparovic","raw_affiliation_strings":["Department of Mathematics, Union College, Schenectady, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Union College, Schenectady, NY, USA","institution_ids":["https://openalex.org/I177328695"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Maria Gommel","orcid":null},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maria Gommel","raw_affiliation_strings":["Department of Mathematics, University of Iowa, Iowa City, IA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Iowa, Iowa City, IA, USA","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Emilie Purvine","orcid":null},"institutions":[{"id":"https://openalex.org/I142606810","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307","country_code":"US","type":"facility","lineage":["https://openalex.org/I1325736334","https://openalex.org/I1330989302","https://openalex.org/I142606810","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emilie Purvine","raw_affiliation_strings":["Computing and Analytics Division,  Pacific Northwest National Laboratory, Seattle, WA, USA"],"affiliations":[{"raw_affiliation_string":"Computing and Analytics Division,  Pacific Northwest National Laboratory, Seattle, WA, USA","institution_ids":["https://openalex.org/I142606810"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Radmila Sazdanovic","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Radmila Sazdanovic","raw_affiliation_strings":["Department of Mathematics, North Carolina State University, Raleigh, NC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bei Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bei Wang","raw_affiliation_strings":["School of Computing, University of Utah, Salt Lake City, UT, USA"],"affiliations":[{"raw_affiliation_string":"School of Computing, University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yusu Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yusu Wang","raw_affiliation_strings":["Department of Computer Science, The Ohio State University, Columbus, OH, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":null,"display_name":"Lori Ziegelmeier","orcid":null},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lori Ziegelmeier","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, Macalester College, Saint Paul, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, Macalester College, Saint Paul, MN, USA","institution_ids":["https://openalex.org/I5444425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":1.3004,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84267571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"4","issue":"3","first_page":"425","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9435999989509583,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9435999989509583,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.016100000590085983,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.007699999958276749,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.7896000146865845},{"id":"https://openalex.org/keywords/wedge","display_name":"Wedge (geometry)","score":0.6389999985694885},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5752000212669373},{"id":"https://openalex.org/keywords/n-connected","display_name":"n-connected","score":0.5315999984741211},{"id":"https://openalex.org/keywords/equivalence-of-metrics","display_name":"Equivalence of metrics","score":0.48489999771118164},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.4790000021457672},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4629000127315521},{"id":"https://openalex.org/keywords/homotopy-category","display_name":"Homotopy category","score":0.46129998564720154},{"id":"https://openalex.org/keywords/intrinsic-metric","display_name":"Intrinsic metric","score":0.4564000070095062}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.791700005531311},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.7896000146865845},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.6389999985694885},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5752000212669373},{"id":"https://openalex.org/C191752858","wikidata":"https://www.wikidata.org/wiki/Q6358325","display_name":"n-connected","level":3,"score":0.5315999984741211},{"id":"https://openalex.org/C191226916","wikidata":"https://www.wikidata.org/wiki/Q5384710","display_name":"Equivalence of metrics","level":4,"score":0.48489999771118164},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.4790000021457672},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46709999442100525},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4629000127315521},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.46129998564720154},{"id":"https://openalex.org/C41261874","wikidata":"https://www.wikidata.org/wiki/Q3855712","display_name":"Intrinsic metric","level":4,"score":0.4564000070095062},{"id":"https://openalex.org/C177547787","wikidata":"https://www.wikidata.org/wiki/Q6034319","display_name":"Injective metric space","level":3,"score":0.42669999599456787},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4138000011444092},{"id":"https://openalex.org/C196613150","wikidata":"https://www.wikidata.org/wiki/Q3966092","display_name":"Convex metric space","level":3,"score":0.3993000090122223},{"id":"https://openalex.org/C168334404","wikidata":"https://www.wikidata.org/wiki/Q7309601","display_name":"Regular homotopy","level":4,"score":0.3905999958515167},{"id":"https://openalex.org/C35234519","wikidata":"https://www.wikidata.org/wiki/Q3983973","display_name":"Homotopy lifting property","level":4,"score":0.385699987411499},{"id":"https://openalex.org/C127104897","wikidata":"https://www.wikidata.org/wiki/Q5454858","display_name":"Fisher information metric","level":4,"score":0.35089999437332153},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33390000462532043},{"id":"https://openalex.org/C150275644","wikidata":"https://www.wikidata.org/wiki/Q1048949","display_name":"Cofibration","level":5,"score":0.33160001039505005},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3303000032901764},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.31709998846054077},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.30880001187324524},{"id":"https://openalex.org/C145084290","wikidata":"https://www.wikidata.org/wiki/Q2713824","display_name":"Metric map","level":4,"score":0.30410000681877136},{"id":"https://openalex.org/C111219935","wikidata":"https://www.wikidata.org/wiki/Q3333764","display_name":"Fubini\u2013Study metric","level":5,"score":0.3009999990463257},{"id":"https://openalex.org/C54486226","wikidata":"https://www.wikidata.org/wiki/Q493941","display_name":"Fibration","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2761000096797943}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s41468-020-00054-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-020-00054-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1712.06224","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.06224","pdf_url":"https://arxiv.org/pdf/1712.06224","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1712.06224","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.06224","pdf_url":"https://arxiv.org/pdf/1712.06224","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2330167591","display_name":null,"funder_award_id":"DBI-1661375","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G2815571703","display_name":null,"funder_award_id":"DMS-1547357","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G2892447901","display_name":null,"funder_award_id":"CCF-1740761","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G3215210955","display_name":null,"funder_award_id":"CDS&E-MSS-1854703","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G5818479937","display_name":null,"funder_award_id":"Collaboration grant 318086","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G5851593732","display_name":null,"funder_award_id":"IIS-1513616","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G6445661541","display_name":null,"funder_award_id":"CCF-1526513","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G8093022098","display_name":null,"funder_award_id":"DMS-1854705","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G8713973187","display_name":null,"funder_award_id":"CCF-1618247","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G888639923","display_name":null,"funder_award_id":"High Performance Data Analytics program","funder_id":"https://openalex.org/F4320338354","funder_display_name":"Pacific Northwest National Laboratory"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"},{"id":"https://openalex.org/F4320338354","display_name":"Pacific Northwest National Laboratory","ror":"https://ror.org/05h992307"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W201935133","https://openalex.org/W1520269345","https://openalex.org/W1596721197","https://openalex.org/W1831954423","https://openalex.org/W1900583485","https://openalex.org/W1981695448","https://openalex.org/W1986537307","https://openalex.org/W1991566301","https://openalex.org/W2001411993","https://openalex.org/W2009494091","https://openalex.org/W2029993762","https://openalex.org/W2061575883","https://openalex.org/W2086529763","https://openalex.org/W2107385756","https://openalex.org/W2108776879","https://openalex.org/W2134086356","https://openalex.org/W2160478694","https://openalex.org/W2592389402","https://openalex.org/W2756399485","https://openalex.org/W2905184296","https://openalex.org/W3010039449","https://openalex.org/W3098571897","https://openalex.org/W3159055394","https://openalex.org/W4210428078"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2019-08-22T00:00:00"}
