{"id":"https://openalex.org/W4376125733","doi":"https://doi.org/10.1002/malq.202200057","title":"Decomposition into special submanifolds","display_name":"Decomposition into special submanifolds","publication_year":2023,"publication_date":"2023-02-01","ids":{"openalex":"https://openalex.org/W4376125733","doi":"https://doi.org/10.1002/malq.202200057"},"language":"en","primary_location":{"id":"doi:10.1002/malq.202200057","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.202200057","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.202200057","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.202200057","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064823367","display_name":"Masato Fujita","orcid":"https://orcid.org/0000-0003-1289-5182"},"institutions":[{"id":"https://openalex.org/I57772034","display_name":"Japan Coast Guard Academy","ror":"https://ror.org/03qa1nk44","country_code":"JP","type":"education","lineage":["https://openalex.org/I1308952385","https://openalex.org/I4387155174","https://openalex.org/I57772034"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masato Fujita","raw_affiliation_strings":["Department of Liberal Arts Japan Coast Guard Academy Hiroshima Japan","Department of Liberal Arts, Japan Coast Guard Academy, Hiroshima, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1289-5182","affiliations":[{"raw_affiliation_string":"Department of Liberal Arts Japan Coast Guard Academy Hiroshima Japan","institution_ids":["https://openalex.org/I57772034"]},{"raw_affiliation_string":"Department of Liberal Arts, Japan Coast Guard Academy, Hiroshima, Japan","institution_ids":["https://openalex.org/I57772034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064823367"],"corresponding_institution_ids":["https://openalex.org/I57772034"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":1.0631,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72441117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"69","issue":"1","first_page":"104","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.975600004196167,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9726999998092651,"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":0.8397167921066284},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6868108510971069},{"id":"https://openalex.org/keywords/continuous-function","display_name":"Continuous function (set theory)","score":0.5866761803627014},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5723485946655273},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.550968587398529},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5447810292243958},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.5058193206787109},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.47538626194000244},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.4249863624572754},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.422821581363678},{"id":"https://openalex.org/keywords/decomposition-theorem","display_name":"Decomposition theorem","score":0.41681334376335144},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35522231459617615},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18027502298355103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0714784562587738}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8397167921066284},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6868108510971069},{"id":"https://openalex.org/C2778199601","wikidata":"https://www.wikidata.org/wiki/Q5165476","display_name":"Continuous function (set theory)","level":3,"score":0.5866761803627014},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5723485946655273},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.550968587398529},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5447810292243958},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.5058193206787109},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.47538626194000244},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.4249863624572754},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.422821581363678},{"id":"https://openalex.org/C2779182943","wikidata":"https://www.wikidata.org/wiki/Q25345219","display_name":"Decomposition theorem","level":2,"score":0.41681334376335144},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35522231459617615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18027502298355103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0714784562587738},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.202200057","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.202200057","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.202200057","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1002/malq.202200057","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.202200057","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.202200057","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4376125733.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1966671634","https://openalex.org/W2010757891","https://openalex.org/W2067657455","https://openalex.org/W2081769494","https://openalex.org/W2134929854","https://openalex.org/W2162052349","https://openalex.org/W2901322690","https://openalex.org/W2991474283","https://openalex.org/W3004753147","https://openalex.org/W3037987177","https://openalex.org/W3084219209","https://openalex.org/W3207065452","https://openalex.org/W3210636447","https://openalex.org/W4213272153","https://openalex.org/W4237440888","https://openalex.org/W4237551483","https://openalex.org/W4281858096","https://openalex.org/W4299599836"],"related_works":["https://openalex.org/W1982260965","https://openalex.org/W2184377290","https://openalex.org/W2514478138","https://openalex.org/W2038973889","https://openalex.org/W2751640575","https://openalex.org/W2752206023","https://openalex.org/W2121163123","https://openalex.org/W1999799115","https://openalex.org/W1966739474","https://openalex.org/W2052106852"],"abstract_inverted_index":{"Abstract":[0],"We":[1,11],"study":[2],"definably":[3],"complete":[4],"locally":[5],"o\u2010minimal":[6],"expansions":[7],"of":[8,15],"ordered":[9],"groups.":[10],"propose":[12],"a":[13],"notion":[14],"special":[16,32],"submanifolds":[17,33],"with":[18,34],"tubular":[19,35],"neighborhoods":[20],"and":[21],"show":[22],"that":[23],"any":[24],"definable":[25],"set":[26],"is":[27],"decomposed":[28],"into":[29],"finitely":[30],"many":[31],"neighborhoods.":[36]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-05-12T00:00:00"}