{"id":"https://openalex.org/W4315630308","doi":"https://doi.org/10.1145/3573105.3575688","title":"Formalising the h-Principle and Sphere Eversion","display_name":"Formalising the h-Principle and Sphere Eversion","publication_year":2023,"publication_date":"2023-01-11","ids":{"openalex":"https://openalex.org/W4315630308","doi":"https://doi.org/10.1145/3573105.3575688"},"language":"en","primary_location":{"id":"doi:10.1145/3573105.3575688","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3573105.3575688","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-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":null,"display_name":"Floris van Doorn","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/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Floris van Doorn","raw_affiliation_strings":["University of Paris-Saclay, France / CNRS, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Paris-Saclay, France / CNRS, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107639406","display_name":"Patrick Massot","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/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrick Massot","raw_affiliation_strings":["University of Paris-Saclay, France / CNRS, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Paris-Saclay, France / CNRS, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074169665","display_name":"Oliver Nash","orcid":"https://orcid.org/0000-0001-7208-6307"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Oliver Nash","raw_affiliation_strings":["Imperial College London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Imperial College London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.979,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79470134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"121","last_page":"134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9921000003814697,"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":0.9782999753952026,"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/topology","display_name":"Topology (electrical circuits)","score":0.6879287958145142},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5787343978881836},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5429262518882751},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5148045420646667},{"id":"https://openalex.org/keywords/algebraic-topology","display_name":"Algebraic topology","score":0.47403597831726074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4633766710758209},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3024693727493286},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26539283990859985},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17016297578811646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12055596709251404},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04670923948287964}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6879287958145142},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5787343978881836},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5429262518882751},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5148045420646667},{"id":"https://openalex.org/C145054310","wikidata":"https://www.wikidata.org/wiki/Q212803","display_name":"Algebraic topology","level":3,"score":0.47403597831726074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4633766710758209},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3024693727493286},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26539283990859985},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17016297578811646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12055596709251404},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04670923948287964},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3573105.3575688","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3573105.3575688","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W166580360","https://openalex.org/W395117528","https://openalex.org/W1464569014","https://openalex.org/W1581378641","https://openalex.org/W2091456056","https://openalex.org/W2174838357","https://openalex.org/W2405679748","https://openalex.org/W2900255997","https://openalex.org/W2907076653","https://openalex.org/W2981188613","https://openalex.org/W3002490963","https://openalex.org/W3173599188","https://openalex.org/W3201709688","https://openalex.org/W3208730953","https://openalex.org/W4205375957","https://openalex.org/W4221167084","https://openalex.org/W4232191777","https://openalex.org/W4245073770","https://openalex.org/W6894165627"],"related_works":["https://openalex.org/W2582753012","https://openalex.org/W4300101497","https://openalex.org/W2379797514","https://openalex.org/W2391763874","https://openalex.org/W2391530279","https://openalex.org/W2962977872","https://openalex.org/W4236522951","https://openalex.org/W2047656848","https://openalex.org/W25586180","https://openalex.org/W1517300152"],"abstract_inverted_index":{"In":[0],"differential":[1],"topology":[2],"and":[3],"geometry,":[4],"the":[5,20,24],"h-principle":[6],"is":[7],"a":[8,27],"property":[9],"enjoyed":[10],"by":[11],"certain":[12],"construction":[13],"problems.":[14],"Roughly":[15],"speaking,":[16],"it":[17],"states":[18],"that":[19],"only":[21],"obstructions":[22],"to":[23],"existence":[25],"of":[26],"solution":[28],"come":[29],"from":[30],"algebraic":[31],"topology.":[32]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}