{"id":"https://openalex.org/W4327729943","doi":"https://doi.org/10.1007/s41468-023-00116-x","title":"The reach of subsets of manifolds","display_name":"The reach of subsets of manifolds","publication_year":2023,"publication_date":"2023-03-17","ids":{"openalex":"https://openalex.org/W4327729943","doi":"https://doi.org/10.1007/s41468-023-00116-x"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-023-00116-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-023-00116-x","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04083524v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105370783","display_name":"Jean\u2010Daniel Boissonnat","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Daniel Boissonnat","raw_affiliation_strings":["Datashape, Inria Sophia-Antipolis, Universit\u00e9 C\u00f4te d\u2019Azur, 2004 Route des Lucioles, Valbonne, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Datashape, Inria Sophia-Antipolis, Universit\u00e9 C\u00f4te d\u2019Azur, 2004 Route des Lucioles, Valbonne, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003460394","display_name":"Mathijs Wintraecken","orcid":"https://orcid.org/0000-0002-7472-2220"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["AT","FR"],"is_corresponding":true,"raw_author_name":"Mathijs Wintraecken","raw_affiliation_strings":["Datashape, Inria Sophia-Antipolis, Universit\u00e9 C\u00f4te d\u2019Azur, 2004 Route des Lucioles, Valbonne, France","Edelsbrunner group, IST Austria, Am Campus 1, 3400, Klosterneuburg, Lower Austria, Austria"],"raw_orcid":"https://orcid.org/0000-0002-7472-2220","affiliations":[{"raw_affiliation_string":"Datashape, Inria Sophia-Antipolis, Universit\u00e9 C\u00f4te d\u2019Azur, 2004 Route des Lucioles, Valbonne, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I201841394"]},{"raw_affiliation_string":"Edelsbrunner group, IST Austria, Am Campus 1, 3400, Klosterneuburg, Lower Austria, Austria","institution_ids":["https://openalex.org/I157556583"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003460394"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I157556583","https://openalex.org/I201841394"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":0.3835,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61817152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":"3","first_page":"619","last_page":"641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9550999999046326,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6564458012580872},{"id":"https://openalex.org/keywords/riemannian-manifold","display_name":"Riemannian manifold","score":0.6475403308868408},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6184021830558777},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.6125530004501343},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5362251400947571},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.5148800611495972},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5073217749595642},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.49228349328041077},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49069178104400635},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.4460406005382538},{"id":"https://openalex.org/keywords/exponential-map","display_name":"Exponential map (Riemannian geometry)","score":0.4216320514678955},{"id":"https://openalex.org/keywords/sectional-curvature","display_name":"Sectional curvature","score":0.3421882390975952},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.275382399559021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23275384306907654},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1526985764503479},{"id":"https://openalex.org/keywords/scalar-curvature","display_name":"Scalar curvature","score":0.12861230969429016},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.1030949056148529}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6564458012580872},{"id":"https://openalex.org/C2779593128","wikidata":"https://www.wikidata.org/wiki/Q632814","display_name":"Riemannian manifold","level":2,"score":0.6475403308868408},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6184021830558777},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.6125530004501343},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5362251400947571},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5148800611495972},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5073217749595642},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.49228349328041077},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49069178104400635},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.4460406005382538},{"id":"https://openalex.org/C102224218","wikidata":"https://www.wikidata.org/wiki/Q25344559","display_name":"Exponential map (Riemannian geometry)","level":5,"score":0.4216320514678955},{"id":"https://openalex.org/C42448751","wikidata":"https://www.wikidata.org/wiki/Q855622","display_name":"Sectional curvature","level":4,"score":0.3421882390975952},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.275382399559021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23275384306907654},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1526985764503479},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.12861230969429016},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.1030949056148529},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s41468-023-00116-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s41468-023-00116-x","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:HAL:hal-04083524v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04083524","pdf_url":"https://hal.science/hal-04083524v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied and Computational Topology, 2023, &#x27E8;10.1007/s41468-023-00116-x&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04083524v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04083524","pdf_url":"https://hal.science/hal-04083524v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied and Computational Topology, 2023, &#x27E8;10.1007/s41468-023-00116-x&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2113015678","display_name":null,"funder_award_id":"ANR-19-P3IA-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2761285720","display_name":null,"funder_award_id":"FP/2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5537318980","display_name":null,"funder_award_id":"FP/2007-2013","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5593277320","display_name":null,"funder_award_id":"2007-2013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5705358137","display_name":null,"funder_award_id":"M-3073","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G6309856603","display_name":"Algorithmic Foundations of Geometry Understanding in Higher Dimensions","funder_award_id":"339025","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8202435710","display_name":null,"funder_award_id":"19-P3IA-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4327729943.pdf","grobid_xml":"https://content.openalex.org/works/W4327729943.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W143092720","https://openalex.org/W1522382323","https://openalex.org/W1648384598","https://openalex.org/W1955705852","https://openalex.org/W1975932797","https://openalex.org/W1989594010","https://openalex.org/W2009334861","https://openalex.org/W2014962953","https://openalex.org/W2018544797","https://openalex.org/W2029041800","https://openalex.org/W2031003742","https://openalex.org/W2032307410","https://openalex.org/W2039081484","https://openalex.org/W2044207839","https://openalex.org/W2044932145","https://openalex.org/W2053923053","https://openalex.org/W2058011527","https://openalex.org/W2075409829","https://openalex.org/W2132710642","https://openalex.org/W2137630416","https://openalex.org/W2155067269","https://openalex.org/W2157878484","https://openalex.org/W2169772513","https://openalex.org/W2324154336","https://openalex.org/W2768086332","https://openalex.org/W2771985859","https://openalex.org/W2779909232","https://openalex.org/W2963162615","https://openalex.org/W2963470882","https://openalex.org/W2964704623","https://openalex.org/W2985958162","https://openalex.org/W2997383166","https://openalex.org/W3102547816","https://openalex.org/W3169203957","https://openalex.org/W4206033904","https://openalex.org/W4211264793","https://openalex.org/W4213171111","https://openalex.org/W4235840289","https://openalex.org/W4242448156","https://openalex.org/W6637206559","https://openalex.org/W6814126227"],"related_works":["https://openalex.org/W1811507144","https://openalex.org/W2951073414","https://openalex.org/W258439864","https://openalex.org/W4301007288","https://openalex.org/W2471026164","https://openalex.org/W2962914834","https://openalex.org/W1980833991","https://openalex.org/W2183829463","https://openalex.org/W2760485996","https://openalex.org/W4382515166"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-13T08:25:38.343686","created_date":"2025-10-10T00:00:00"}
