{"id":"https://openalex.org/W7202220669","doi":"https://doi.org/10.48550/arxiv.2608.07802","title":"$C^0$-Analogue of Ismagilov's Theorem","display_name":"$C^0$-Analogue of Ismagilov's Theorem","publication_year":2026,"publication_date":"2026-08-07","ids":{"openalex":"https://openalex.org/W7202220669","doi":"https://doi.org/10.48550/arxiv.2608.07802"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.07802","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.07802","pdf_url":"https://arxiv.org/pdf/2608.07802","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,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.07802","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052856123","display_name":"St\u00e9phane Tchuiaga","orcid":"https://orcid.org/0000-0002-0467-5035","observed_orcids":["https://orcid.org/0000-0002-0467-5035"]},"institutions":[{"id":"https://openalex.org/I144693123","display_name":"University of Buea","ror":"https://ror.org/041kdhz15","country_code":"CM","type":"education","lineage":["https://openalex.org/I144693123"]}],"countries":["CM"],"is_corresponding":true,"raw_author_name":"Tchuiaga, St\u00e9phane","raw_affiliation_strings":["Department of Mathematics , University of Buea , South West Region , Cameroon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Buea , South West Region , Cameroon","institution_ids":["https://openalex.org/I144693123"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052856123"],"corresponding_institution_ids":["https://openalex.org/I144693123"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.4805000126361847,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.4805000126361847,"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":0.43700000643730164,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.027499999850988388,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/continuous-cohomology","display_name":"continuous cohomology","score":0.8870000243186951},{"id":"https://openalex.org/keywords/volume-preserving-diffeomorphisms","display_name":"volume-preserving diffeomorphisms","score":0.9710000157356262},{"id":"https://openalex.org/keywords/de-rham-cohomology","display_name":"de Rham cohomology","score":0.8080000281333923},{"id":"https://openalex.org/keywords/homeomorphism-groups","display_name":"homeomorphism groups","score":0.5559999942779541}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8504999876022339},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7039999961853027},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.590399980545044},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5055000185966492},{"id":"https://openalex.org/C20211961","wikidata":"https://www.wikidata.org/wiki/Q1068085","display_name":"Closed graph theorem","level":5,"score":0.49939998984336853},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.49709999561309814},{"id":"https://openalex.org/C184908153","wikidata":"https://www.wikidata.org/wiki/Q2226650","display_name":"Eberlein\u2013\u0160mulian theorem","level":4,"score":0.3993000090122223},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3928000032901764},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.38989999890327454},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.33649998903274536},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.33160001039505005},{"id":"https://openalex.org/C68365058","wikidata":"https://www.wikidata.org/wiki/Q1179446","display_name":"De Rham cohomology","level":4,"score":0.32659998536109924},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.3248000144958496},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.3221000134944916},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.3188999891281128},{"id":"https://openalex.org/C175316100","wikidata":"https://www.wikidata.org/wiki/Q3882299","display_name":"Algebra homomorphism","level":3,"score":0.3075999915599823},{"id":"https://openalex.org/C155751095","wikidata":"https://www.wikidata.org/wiki/Q1408937","display_name":"Group cohomology","level":3,"score":0.3012000024318695},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C58450382","wikidata":"https://www.wikidata.org/wiki/Q2147620","display_name":"Locally compact group","level":3,"score":0.2800999879837036},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C140080248","wikidata":"https://www.wikidata.org/wiki/Q3087844","display_name":"Chern\u2013Weil homomorphism","level":5,"score":0.27320000529289246},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.2515000104904175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.07802","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.07802","pdf_url":"https://arxiv.org/pdf/2608.07802","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,"listed_in":[],"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":"doi:10.48550/arxiv.2608.07802","doi":"https://doi.org/10.48550/arxiv.2608.07802","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.07802","pdf_url":null,"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,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.07802","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.07802","pdf_url":"https://arxiv.org/pdf/2608.07802","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,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7202220669.pdf","grobid_xml":"https://content.openalex.org/works/W7202220669.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2735386033","https://openalex.org/W7098671114","https://openalex.org/W168876492","https://openalex.org/W4285070156","https://openalex.org/W2060597600","https://openalex.org/W2029136376","https://openalex.org/W2952132294","https://openalex.org/W2088097439","https://openalex.org/W2963239509","https://openalex.org/W4245651803"],"abstract_inverted_index":{"We":[0,41],"establish":[1],"a":[2,17,71,79],"topological":[3,80,127],"analogue":[4],"of":[5,13,31,37,54,66,73,119,122],"Ismagilov's":[6],"theorem":[7,105],"concerning":[8],"the":[9,28,51,61,90,96,102,110,114,120,126],"first":[10,45,62],"continuous":[11,46,56],"cohomology":[12,47,65],"volume-preserving":[14,39,76,123],"diffeomorphisms.":[15],"For":[16],"closed":[18],"oriented":[19],"manifold":[20],"\\(M\\)":[21],"with":[22,48],"volume":[23,81],"form":[24],"\\(\u03a9\\),":[25],"we":[26],"consider":[27],"group":[29,121],"\\(\\mathbb{G}^\u03a9(M)\\)":[30],"homeomorphisms":[32],"obtained":[33],"as":[34],"uniform":[35],"limits":[36],"smooth":[38],"isotopies.":[40],"show":[42],"that":[43,93,132],"its":[44,85],"values":[49],"in":[50,131],"Banach":[52],"space":[53],"zero-mean":[55],"functions":[57],"is":[58],"isomorphic":[59],"to":[60,113],"de":[63],"Rham":[64],"\\(M\\).":[67],"The":[68],"proof":[69],"develops":[70],"theory":[72],"transport":[74,87],"for":[75,107],"isotopies,":[77],"producing":[78],"flux":[82,128],"homomorphism":[83],"and":[84,100,125],"associated":[86],"cocycle.":[88],"Under":[89],"additional":[91],"hypothesis":[92],"\\((M,\u03a9)\\)":[94],"satisfies":[95],"local":[97],"\\(C^0\\)-generation":[98],"property,":[99],"assuming":[101],"M\u00fcller-Sikorav":[103],"approximation":[104],"(known":[106],"\\(n\\neq":[108],"4\\)),":[109],"isomorphism":[111],"extends":[112],"full":[115],"identity":[116],"component":[117],"\\(\\operatorname{Homeo}_0^\u03a9(M)\\)":[118],"homeomorphisms,":[124],"conjecture":[129],"follows":[130],"setting.":[133]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-08-12T00:00:00"}