{"id":"https://openalex.org/W4386544045","doi":"https://doi.org/10.1007/s11083-023-09643-9","title":"Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics","display_name":"Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics","publication_year":2023,"publication_date":"2023-09-08","ids":{"openalex":"https://openalex.org/W4386544045","doi":"https://doi.org/10.1007/s11083-023-09643-9"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-023-09643-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-023-09643-9","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100386550","display_name":"Woojin Kim","orcid":"https://orcid.org/0000-0001-8081-5872"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Woojin Kim","raw_affiliation_strings":["Department of Mathematical Sciences, KAIST, Daejeon, South Korea"],"raw_orcid":"https://orcid.org/0000-0001-8081-5872","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, KAIST, Daejeon, South Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016256957","display_name":"Facundo M\u00e9moli","orcid":"https://orcid.org/0000-0001-8409-0549"},"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":"Facundo M\u00e9moli","raw_affiliation_strings":["Department of Mathematics and Department of Computer Science and Engineering, The Ohio State University, Columbus, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Department of Computer Science and Engineering, The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047436503","display_name":"Anastasios Stefanou","orcid":"https://orcid.org/0000-0002-5408-9317"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anastasios Stefanou","raw_affiliation_strings":["Institute for Algebra, Geometry, Topology and their Applications (ALTA), Department of Mathematics, University of Bremen, Bremen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-5408-9317","affiliations":[{"raw_affiliation_string":"Institute for Algebra, Geometry, Topology and their Applications (ALTA), Department of Mathematics, University of Bremen, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100386550"],"corresponding_institution_ids":["https://openalex.org/I157485424","https://openalex.org/I4210158432"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.388,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65108869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"41","issue":"2","first_page":"497","last_page":"537"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9240000247955322,"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"}},{"id":"https://openalex.org/T11266","display_name":"Neuroinflammation and Neurodegeneration Mechanisms","score":0.9233999848365784,"subfield":{"id":"https://openalex.org/subfields/2808","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7723433971405029},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.7491004467010498},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7213109135627747},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6217613816261292},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.5594625473022461},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41852331161499023},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39008620381355286},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08651262521743774}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7723433971405029},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7491004467010498},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7213109135627747},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6217613816261292},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.5594625473022461},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41852331161499023},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39008620381355286},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08651262521743774},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-023-09643-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-023-09643-9","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1057090477","display_name":null,"funder_award_id":"DMS-1723003","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5246179914","display_name":null,"funder_award_id":"CCF-1740761","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W114397555","https://openalex.org/W327529882","https://openalex.org/W417772092","https://openalex.org/W616063655","https://openalex.org/W819401118","https://openalex.org/W1496383623","https://openalex.org/W1499561838","https://openalex.org/W1575022706","https://openalex.org/W1596721197","https://openalex.org/W1671098680","https://openalex.org/W1756475526","https://openalex.org/W1787079481","https://openalex.org/W1991566301","https://openalex.org/W2014209644","https://openalex.org/W2055063781","https://openalex.org/W2056761334","https://openalex.org/W2060702495","https://openalex.org/W2069314032","https://openalex.org/W2071391326","https://openalex.org/W2086529763","https://openalex.org/W2098825762","https://openalex.org/W2108380304","https://openalex.org/W2108776879","https://openalex.org/W2112037053","https://openalex.org/W2120713972","https://openalex.org/W2125690626","https://openalex.org/W2133227973","https://openalex.org/W2138710286","https://openalex.org/W2148561979","https://openalex.org/W2149185044","https://openalex.org/W2166865790","https://openalex.org/W2168480468","https://openalex.org/W2290451660","https://openalex.org/W2294510945","https://openalex.org/W2335810221","https://openalex.org/W2588688245","https://openalex.org/W2591896608","https://openalex.org/W2605251440","https://openalex.org/W2611175853","https://openalex.org/W2781831736","https://openalex.org/W2789787607","https://openalex.org/W2905945621","https://openalex.org/W2942078528","https://openalex.org/W2963497591","https://openalex.org/W2964236818","https://openalex.org/W2989179987","https://openalex.org/W2990005885","https://openalex.org/W2991962490","https://openalex.org/W3003630168","https://openalex.org/W3007632528","https://openalex.org/W3037216446","https://openalex.org/W3037363393","https://openalex.org/W3042927653","https://openalex.org/W3092727470","https://openalex.org/W3098443453","https://openalex.org/W3099422512","https://openalex.org/W3103850685","https://openalex.org/W3104309020","https://openalex.org/W3162451511","https://openalex.org/W3185924222","https://openalex.org/W4210681352","https://openalex.org/W4233690291","https://openalex.org/W4254268221","https://openalex.org/W4387527433","https://openalex.org/W6720583576","https://openalex.org/W6818412678"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W3214148052","https://openalex.org/W2151692181","https://openalex.org/W1963087247","https://openalex.org/W794462722","https://openalex.org/W2029625042","https://openalex.org/W2347443236","https://openalex.org/W4205203210","https://openalex.org/W4248476017","https://openalex.org/W2807741550"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}
