{"id":"https://openalex.org/W3136890767","doi":"https://doi.org/10.1007/s10485-021-09636-y","title":"Functorial Factorizations in the Category of Model Categories","display_name":"Functorial Factorizations in the Category of Model Categories","publication_year":2021,"publication_date":"2021-03-25","ids":{"openalex":"https://openalex.org/W3136890767","doi":"https://doi.org/10.1007/s10485-021-09636-y","mag":"3136890767"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-021-09636-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-021-09636-y","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","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/A5043123011","display_name":"Hugo V. Bacard","orcid":"https://orcid.org/0000-0001-9216-494X"},"institutions":[{"id":"https://openalex.org/I4210126728","display_name":"Acad\u00e9mie de Versailles","ror":"https://ror.org/02efpnz39","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210126728"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hugo Bacard","raw_affiliation_strings":["Lyc\u00e9e Richelieu, Acad\u00e9mie de Versailles, Rueil-Malmaison, France"],"raw_orcid":"https://orcid.org/0000-0001-9216-494X","affiliations":[{"raw_affiliation_string":"Lyc\u00e9e Richelieu, Acad\u00e9mie de Versailles, Rueil-Malmaison, France","institution_ids":["https://openalex.org/I4210126728"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043123011"],"corresponding_institution_ids":["https://openalex.org/I4210126728"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13331997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"5","first_page":"849","last_page":"877"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9553999900817871,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9474999904632568,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8215637803077698},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7153559923171997},{"id":"https://openalex.org/keywords/monad","display_name":"Monad (category theory)","score":0.6288774013519287},{"id":"https://openalex.org/keywords/model-category","display_name":"Model category","score":0.5770864486694336},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49091440439224243},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.4579223096370697},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37796056270599365},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37203386425971985},{"id":"https://openalex.org/keywords/homotopy-category","display_name":"Homotopy category","score":0.12699154019355774},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.07669857144355774}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8215637803077698},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7153559923171997},{"id":"https://openalex.org/C33959348","wikidata":"https://www.wikidata.org/wiki/Q1630568","display_name":"Monad (category theory)","level":3,"score":0.6288774013519287},{"id":"https://openalex.org/C131359564","wikidata":"https://www.wikidata.org/wiki/Q1941896","display_name":"Model category","level":4,"score":0.5770864486694336},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49091440439224243},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.4579223096370697},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37796056270599365},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37203386425971985},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.12699154019355774},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.07669857144355774}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-021-09636-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-021-09636-y","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W51202918","https://openalex.org/W1481544738","https://openalex.org/W1509975064","https://openalex.org/W1583122470","https://openalex.org/W2083944474","https://openalex.org/W2107097567","https://openalex.org/W2155082838","https://openalex.org/W2171509802","https://openalex.org/W2887558447","https://openalex.org/W2911422384","https://openalex.org/W2995772018","https://openalex.org/W3005977793","https://openalex.org/W3035175811","https://openalex.org/W3099573895","https://openalex.org/W4236256974","https://openalex.org/W4238183027","https://openalex.org/W6813120610"],"related_works":["https://openalex.org/W952420568","https://openalex.org/W4297571726","https://openalex.org/W2773225929","https://openalex.org/W1486673991","https://openalex.org/W2119472394","https://openalex.org/W4297727768","https://openalex.org/W2951609909","https://openalex.org/W2055871932","https://openalex.org/W3136890767","https://openalex.org/W3036458910"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}