{"id":"https://openalex.org/W4312892014","doi":"https://doi.org/10.1017/s0960129522000202","title":"Special issue on homotopy type theory 2019","display_name":"Special issue on homotopy type theory 2019","publication_year":2021,"publication_date":"2021-11-01","ids":{"openalex":"https://openalex.org/W4312892014","doi":"https://doi.org/10.1017/s0960129522000202"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129522000202","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129522000202","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0F3C88C0C5F41EC96F95C6D72557E4EC/S0960129522000202a.pdf/div-class-title-special-issue-on-homotopy-type-theory-2019-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0F3C88C0C5F41EC96F95C6D72557E4EC/S0960129522000202a.pdf/div-class-title-special-issue-on-homotopy-type-theory-2019-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009198759","display_name":"Daniel R. Licata","orcid":"https://orcid.org/0000-0003-0697-7405"},"institutions":[{"id":"https://openalex.org/I100538780","display_name":"Wesleyan University","ror":"https://ror.org/05h7xva58","country_code":"US","type":"education","lineage":["https://openalex.org/I100538780"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dan Licata","raw_affiliation_strings":["Mathematics and Computer Science, Wesleyan University, Middletown, CT06459-0146, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics and Computer Science, Wesleyan University, Middletown, CT06459-0146, USA","institution_ids":["https://openalex.org/I100538780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021916916","display_name":"Peter LeFanu Lumsdaine","orcid":"https://orcid.org/0000-0003-1390-2970"},"institutions":[{"id":"https://openalex.org/I161593684","display_name":"Stockholm University","ror":"https://ror.org/05f0yaq80","country_code":"SE","type":"education","lineage":["https://openalex.org/I161593684"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Peter LeFanu Lumsdaine","raw_affiliation_strings":["Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden","institution_ids":["https://openalex.org/I161593684"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009198759"],"corresponding_institution_ids":["https://openalex.org/I100538780"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30558723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"10","first_page":"1145","last_page":"1146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9549000263214111,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9549000263214111,"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"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9185000061988831,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5895393490791321},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5433955192565918},{"id":"https://openalex.org/keywords/cofibration","display_name":"Cofibration","score":0.5225079655647278},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.514861524105072},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.4679739773273468},{"id":"https://openalex.org/keywords/homotopy-hypothesis","display_name":"Homotopy hypothesis","score":0.4592478275299072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40572258830070496},{"id":"https://openalex.org/keywords/homotopy-sphere","display_name":"Homotopy sphere","score":0.38815000653266907},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36213433742523193},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3397022783756256},{"id":"https://openalex.org/keywords/n-connected","display_name":"n-connected","score":0.3329605758190155},{"id":"https://openalex.org/keywords/homotopy-lifting-property","display_name":"Homotopy lifting property","score":0.2290513813495636},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.04955923557281494}],"concepts":[{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5895393490791321},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5433955192565918},{"id":"https://openalex.org/C150275644","wikidata":"https://www.wikidata.org/wiki/Q1048949","display_name":"Cofibration","level":5,"score":0.5225079655647278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.514861524105072},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.4679739773273468},{"id":"https://openalex.org/C164043645","wikidata":"https://www.wikidata.org/wiki/Q16879377","display_name":"Homotopy hypothesis","level":5,"score":0.4592478275299072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40572258830070496},{"id":"https://openalex.org/C18003601","wikidata":"https://www.wikidata.org/wiki/Q5891833","display_name":"Homotopy sphere","level":4,"score":0.38815000653266907},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36213433742523193},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3397022783756256},{"id":"https://openalex.org/C191752858","wikidata":"https://www.wikidata.org/wiki/Q6358325","display_name":"n-connected","level":3,"score":0.3329605758190155},{"id":"https://openalex.org/C35234519","wikidata":"https://www.wikidata.org/wiki/Q3983973","display_name":"Homotopy lifting property","level":4,"score":0.2290513813495636},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.04955923557281494},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129522000202","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129522000202","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0F3C88C0C5F41EC96F95C6D72557E4EC/S0960129522000202a.pdf/div-class-title-special-issue-on-homotopy-type-theory-2019-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0960129522000202","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129522000202","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0F3C88C0C5F41EC96F95C6D72557E4EC/S0960129522000202a.pdf/div-class-title-special-issue-on-homotopy-type-theory-2019-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312892014.pdf","grobid_xml":"https://content.openalex.org/works/W4312892014.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2334974384","https://openalex.org/W2950576293","https://openalex.org/W4289763238","https://openalex.org/W2153583112","https://openalex.org/W4301135587","https://openalex.org/W2963024429","https://openalex.org/W1983731475","https://openalex.org/W1555484017","https://openalex.org/W800841899","https://openalex.org/W1997281768"],"abstract_inverted_index":{"This":[0,12],"special":[1],"issue":[2],"collects":[3],"papers":[4],"on":[5],"homotopy":[6,26],"type":[7,21,42,47,51],"theory":[8,43],"and":[9,25,31,44,49],"univalent":[10],"foundations.":[11],"research":[13],"area":[14],"studies":[15],"topics":[16],"at":[17],"the":[18],"intersection":[19],"of":[20,40],"theory,":[22,24],"category":[23],"theory.":[27],"For":[28],"example,":[29],"homotopical":[30],"higher":[32],"categorical":[33],"ideas":[34],"have":[35,53],"led":[36],"to":[37,59],"new":[38,45],"extensions":[39],"dependent":[41,46],"theories,":[48],"these":[50],"theories":[52],"been":[54],"used":[55],"in":[56],"proof":[57],"assistants":[58],"formalize":[60],"mathematics.":[61],"In":[62]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}