{"id":"https://openalex.org/W4415747805","doi":"https://doi.org/10.1007/978-3-032-09544-2_12","title":"Characterization of the Computed Homology and Cohomology Bases","display_name":"Characterization of the Computed Homology and Cohomology Bases","publication_year":2025,"publication_date":"2025-10-31","ids":{"openalex":"https://openalex.org/W4415747805","doi":"https://doi.org/10.1007/978-3-032-09544-2_12"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-09544-2_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-09544-2_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2509.09350","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087348965","display_name":"Yann-Situ Gazull","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Yann-Situ Gazull","raw_affiliation_strings":["Aix Marseille Univ, CNRS, LIS, Marseille, France","LIS - Laboratoire d'Informatique et des Syst\u00e8mes (LIS) (Marseille, Toulon) (Aix Marseille Universit\u00e9 \u2013 Campus de Saint J\u00e9r\u00f4me \u2013 Bat. Polytech, 52 Av. Escadrille Normandie Niemen, 13397 Marseille Cedex 20 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"raw_affiliation_string":"LIS - Laboratoire d'Informatique et des Syst\u00e8mes (LIS) (Marseille, Toulon) (Aix Marseille Universit\u00e9 \u2013 Campus de Saint J\u00e9r\u00f4me \u2013 Bat. Polytech, 52 Av. Escadrille Normandie Niemen, 13397 Marseille Cedex 20 - France)","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I4210114274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065302085","display_name":"Aldo Gonzalez-Lorenzo","orcid":"https://orcid.org/0000-0003-3226-7650"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Aldo Gonzalez-Lorenzo","raw_affiliation_strings":["Aix Marseille Univ, CNRS, LIS, Marseille, France","LIS - Laboratoire d'Informatique et des Syst\u00e8mes (LIS) (Marseille, Toulon) (Aix Marseille Universit\u00e9 \u2013 Campus de Saint J\u00e9r\u00f4me \u2013 Bat. Polytech, 52 Av. Escadrille Normandie Niemen, 13397 Marseille Cedex 20 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"raw_affiliation_string":"LIS - Laboratoire d'Informatique et des Syst\u00e8mes (LIS) (Marseille, Toulon) (Aix Marseille Universit\u00e9 \u2013 Campus de Saint J\u00e9r\u00f4me \u2013 Bat. Polytech, 52 Av. Escadrille Normandie Niemen, 13397 Marseille Cedex 20 - France)","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I4210114274"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111456370","display_name":"Alexandra Bac","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandra Bac","raw_affiliation_strings":["Aix Marseille Univ, CNRS, LIS, Marseille, France","LIS - Laboratoire d'Informatique et des Syst\u00e8mes (LIS) (Marseille, Toulon) (Aix Marseille Universit\u00e9 \u2013 Campus de Saint J\u00e9r\u00f4me \u2013 Bat. Polytech, 52 Av. Escadrille Normandie Niemen, 13397 Marseille Cedex 20 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"raw_affiliation_string":"LIS - Laboratoire d'Informatique et des Syst\u00e8mes (LIS) (Marseille, Toulon) (Aix Marseille Universit\u00e9 \u2013 Campus de Saint J\u00e9r\u00f4me \u2013 Bat. Polytech, 52 Av. Escadrille Normandie Niemen, 13397 Marseille Cedex 20 - France)","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I4210114274"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087348965"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210114274"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.1626,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87585289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"163","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9955000281333923,"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":0.9955000281333923,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.0013000000035390258,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.0010999999940395355,"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/homology","display_name":"Homology (biology)","score":0.6758999824523926},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.6136999726295471},{"id":"https://openalex.org/keywords/singular-homology","display_name":"Singular homology","score":0.5921000242233276},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.5789999961853027},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.5680999755859375},{"id":"https://openalex.org/keywords/cellular-homology","display_name":"Cellular homology","score":0.5378000140190125},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.5338000059127808},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4788999855518341}],"concepts":[{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.6758999824523926},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.6136999726295471},{"id":"https://openalex.org/C139962677","wikidata":"https://www.wikidata.org/wiki/Q1095056","display_name":"Singular homology","level":3,"score":0.5921000242233276},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.5789999961853027},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.5680999755859375},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.5378000140190125},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.5338000059127808},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4788999855518341},{"id":"https://openalex.org/C201595698","wikidata":"https://www.wikidata.org/wiki/Q2421905","display_name":"Mayer\u2013Vietoris sequence","level":5,"score":0.4657000005245209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43950000405311584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4036000072956085},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.3718999922275543},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.35100001096725464},{"id":"https://openalex.org/C135783237","wikidata":"https://www.wikidata.org/wiki/Q3139850","display_name":"Morse homology","level":4,"score":0.3452000021934509},{"id":"https://openalex.org/C202232017","wikidata":"https://www.wikidata.org/wiki/Q189061","display_name":"CW complex","level":4,"score":0.3447999954223633},{"id":"https://openalex.org/C79536532","wikidata":"https://www.wikidata.org/wiki/Q1959911","display_name":"Relative homology","level":3,"score":0.33230000734329224},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3285999894142151},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30379998683929443},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29010000824928284},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.289000004529953}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-032-09544-2_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-09544-2_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2509.09350","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.09350","pdf_url":"https://arxiv.org/pdf/2509.09350","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-05357027v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05357027","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Geometry and Mathematical Morphology, Michael H. F. Wilkinson, Ji\u0159\u00ed Kosinka, Nov 2025, Groningen, Netherlands. pp.163-177, &#x27E8;10.1007/978-3-032-09544-2_12&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2509.09350","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2509.09350","pdf_url":"https://arxiv.org/pdf/2509.09350","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415747805.pdf","grobid_xml":"https://content.openalex.org/works/W4415747805.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2064020260","https://openalex.org/W2144044408","https://openalex.org/W2152432270","https://openalex.org/W2173164803","https://openalex.org/W2618638433","https://openalex.org/W2619870690","https://openalex.org/W2897738333","https://openalex.org/W2951711467","https://openalex.org/W2963904897","https://openalex.org/W3002301362","https://openalex.org/W3011077068","https://openalex.org/W3013843370","https://openalex.org/W3162517897","https://openalex.org/W4233690291","https://openalex.org/W4405213128"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-29T07:29:34.045763","created_date":"2025-10-31T00:00:00"}
