{"id":"https://openalex.org/W2053395628","doi":"https://doi.org/10.1007/s10444-014-9356-1","title":"Computation of cubical homology, cohomology, and (co)homological operations via chain contraction","display_name":"Computation of cubical homology, cohomology, and (co)homological operations via chain contraction","publication_year":2014,"publication_date":"2014-04-09","ids":{"openalex":"https://openalex.org/W2053395628","doi":"https://doi.org/10.1007/s10444-014-9356-1","mag":"2053395628"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-014-9356-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-014-9356-1","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","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/A5087872827","display_name":"Pawe\u0142 Pilarczyk","orcid":"https://orcid.org/0000-0003-0597-697X"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Pawe\u0142 Pilarczyk","raw_affiliation_strings":["Universidade do Minho, Centro de Matem\u00e1tica, Campus de Gualtar, 4710-057, Braga, Portugal","Universidade do Minho, Centro de Matem\u00e1tica, Braga, Portugal 4710-057#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade do Minho, Centro de Matem\u00e1tica, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"Universidade do Minho, Centro de Matem\u00e1tica, Braga, Portugal 4710-057#TAB#","institution_ids":["https://openalex.org/I99682543"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002940525","display_name":"Pedro Real","orcid":"https://orcid.org/0000-0002-6853-0505"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Real","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada I, E. T. S. de Ingenier\u00eda Inform\u00e1tica, Universidad de Sevilla, Avenida Reina Mercedes s/n, 41012, Sevilla, Spain","Departamento de Matem\u00e1tica Aplicada I, E. T. S. de Ingenier\u00eda Inform\u00e1tica, Universidad de Sevilla, Sevilla, Spain 41012#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I, E. T. S. de Ingenier\u00eda Inform\u00e1tica, Universidad de Sevilla, Avenida Reina Mercedes s/n, 41012, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I, E. T. S. de Ingenier\u00eda Inform\u00e1tica, Universidad de Sevilla, Sevilla, Spain 41012#TAB#","institution_ids":["https://openalex.org/I79238269"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087872827"],"corresponding_institution_ids":["https://openalex.org/I99682543"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.4437,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.88967537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","issue":"1","first_page":"253","last_page":"275"},"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":0.9984999895095825,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9671000242233276,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/cohomology","display_name":"Cohomology","score":0.7587817907333374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7297357320785522},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.6996316909790039},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6391676664352417},{"id":"https://openalex.org/keywords/contraction","display_name":"Contraction (grammar)","score":0.5725031495094299},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.5684551000595093},{"id":"https://openalex.org/keywords/mayer\u2013vietoris-sequence","display_name":"Mayer\u2013Vietoris sequence","score":0.5076428651809692},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5070018768310547},{"id":"https://openalex.org/keywords/singular-homology","display_name":"Singular homology","score":0.4923750162124634},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4428146183490753},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44255557656288147},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.43361911177635193},{"id":"https://openalex.org/keywords/cellular-homology","display_name":"Cellular homology","score":0.4101334512233734},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.389548122882843},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3731427490711212},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.3506760597229004},{"id":"https://openalex.org/keywords/de-rham-cohomology","display_name":"De Rham cohomology","score":0.2234889566898346},{"id":"https://openalex.org/keywords/equivariant-cohomology","display_name":"Equivariant cohomology","score":0.1948329508304596},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18154996633529663},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14484819769859314},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1047477126121521},{"id":"https://openalex.org/keywords/amino-acid","display_name":"Amino acid","score":0.06600406765937805},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05030754208564758}],"concepts":[{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.7587817907333374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7297357320785522},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.6996316909790039},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6391676664352417},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.5725031495094299},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.5684551000595093},{"id":"https://openalex.org/C201595698","wikidata":"https://www.wikidata.org/wiki/Q2421905","display_name":"Mayer\u2013Vietoris sequence","level":5,"score":0.5076428651809692},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5070018768310547},{"id":"https://openalex.org/C139962677","wikidata":"https://www.wikidata.org/wiki/Q1095056","display_name":"Singular homology","level":3,"score":0.4923750162124634},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4428146183490753},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44255557656288147},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.43361911177635193},{"id":"https://openalex.org/C55537702","wikidata":"https://www.wikidata.org/wiki/Q3139849","display_name":"Cellular homology","level":3,"score":0.4101334512233734},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.389548122882843},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3731427490711212},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.3506760597229004},{"id":"https://openalex.org/C68365058","wikidata":"https://www.wikidata.org/wiki/Q1179446","display_name":"De Rham cohomology","level":4,"score":0.2234889566898346},{"id":"https://openalex.org/C72738302","wikidata":"https://www.wikidata.org/wiki/Q5384738","display_name":"Equivariant cohomology","level":3,"score":0.1948329508304596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18154996633529663},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14484819769859314},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1047477126121521},{"id":"https://openalex.org/C515207424","wikidata":"https://www.wikidata.org/wiki/Q8066","display_name":"Amino acid","level":2,"score":0.06600406765937805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05030754208564758},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10444-014-9356-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-014-9356-1","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dnet:idus________::54c73974a6bcbd533506d1f6bad333c2","is_oa":false,"landing_page_url":"https://idus.us.es/handle/11441/38719","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/27492","is_oa":false,"landing_page_url":"http://hdl.handle.net/1822/27492","pdf_url":null,"source":{"id":"https://openalex.org/S4306401240","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"},{"id":"pmh:oai:repositorium.uminho.pt:1822/27492","is_oa":false,"landing_page_url":"https://hdl.handle.net/1822/27492","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W29414318","https://openalex.org/W424330308","https://openalex.org/W1496383623","https://openalex.org/W1509099316","https://openalex.org/W1532591949","https://openalex.org/W1535866048","https://openalex.org/W1540229653","https://openalex.org/W1541920557","https://openalex.org/W1543770350","https://openalex.org/W1970288529","https://openalex.org/W1973056580","https://openalex.org/W1983320296","https://openalex.org/W1986644591","https://openalex.org/W1991686262","https://openalex.org/W2004302513","https://openalex.org/W2013147104","https://openalex.org/W2013551157","https://openalex.org/W2015161630","https://openalex.org/W2018433009","https://openalex.org/W2020401767","https://openalex.org/W2032980094","https://openalex.org/W2034833521","https://openalex.org/W2044966525","https://openalex.org/W2048235185","https://openalex.org/W2052543097","https://openalex.org/W2053436201","https://openalex.org/W2059441635","https://openalex.org/W2062949094","https://openalex.org/W2064020260","https://openalex.org/W2071579652","https://openalex.org/W2079414950","https://openalex.org/W2087595357","https://openalex.org/W2094407865","https://openalex.org/W2097894461","https://openalex.org/W2105136679","https://openalex.org/W2107746850","https://openalex.org/W2109286026","https://openalex.org/W2110221038","https://openalex.org/W2119031418","https://openalex.org/W2119084325","https://openalex.org/W2122778257","https://openalex.org/W2129942593","https://openalex.org/W2132458980","https://openalex.org/W2141079313","https://openalex.org/W2146884484","https://openalex.org/W2156409649","https://openalex.org/W2316187542","https://openalex.org/W2317753836","https://openalex.org/W2319725995","https://openalex.org/W2329262709","https://openalex.org/W2468986908","https://openalex.org/W2486762503","https://openalex.org/W3040586665","https://openalex.org/W3183392806","https://openalex.org/W4254187098","https://openalex.org/W4285719527","https://openalex.org/W6822277050"],"related_works":["https://openalex.org/W2087953714","https://openalex.org/W2001316918","https://openalex.org/W2030494109","https://openalex.org/W2144044408","https://openalex.org/W2611409811","https://openalex.org/W2963684499","https://openalex.org/W1454212241","https://openalex.org/W1529512952","https://openalex.org/W2745914844","https://openalex.org/W2053395628"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
