{"id":"https://openalex.org/W4415260359","doi":"https://doi.org/10.3233/com-230443","title":"On the necessity of some topological spaces","display_name":"On the necessity of some topological spaces","publication_year":2024,"publication_date":"2024-11-26","ids":{"openalex":"https://openalex.org/W4415260359","doi":"https://doi.org/10.3233/com-230443"},"language":"en","primary_location":{"id":"doi:10.3233/com-230443","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-230443","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","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/A5088614199","display_name":"\u0422\u0430\u0440\u0430\u0441 \u0411\u0430\u043d\u0430\u0445","orcid":"https://orcid.org/0000-0001-6710-4611"},"institutions":[{"id":"https://openalex.org/I200280692","display_name":"Lviv University","ror":"https://ror.org/01s7y5e82","country_code":"UA","type":"education","lineage":["https://openalex.org/I200280692"]},{"id":"https://openalex.org/I169495764","display_name":"Jan Kochanowski University","ror":"https://ror.org/00krbh354","country_code":"PL","type":"education","lineage":["https://openalex.org/I169495764"]}],"countries":["PL","UA"],"is_corresponding":true,"raw_author_name":"Taras Banakh","raw_affiliation_strings":["Ivan Franko National University of Lviv","Jan Kochanowski University in"],"affiliations":[{"raw_affiliation_string":"Ivan Franko National University of Lviv","institution_ids":["https://openalex.org/I200280692"]},{"raw_affiliation_string":"Jan Kochanowski University in","institution_ids":["https://openalex.org/I169495764"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027721938","display_name":"Robert S. Lubarsky","orcid":null},"institutions":[{"id":"https://openalex.org/I63772739","display_name":"Florida Atlantic University","ror":"https://ror.org/05p8w6387","country_code":"US","type":"education","lineage":["https://openalex.org/I63772739"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert\u00a0S. Lubarsky","raw_affiliation_strings":["Florida Atlantic University"],"affiliations":[{"raw_affiliation_string":"Florida Atlantic University","institution_ids":["https://openalex.org/I63772739"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027721938","https://openalex.org/A5088614199"],"corresponding_institution_ids":["https://openalex.org/I169495764","https://openalex.org/I200280692","https://openalex.org/I63772739"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33881364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"3-4","first_page":"223","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9125000238418579,"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/constructive","display_name":"Constructive","score":0.6646000146865845},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.6146000027656555},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5267000198364258},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.47049999237060547},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.4180000126361847},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.3901999890804291}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6646000146865845},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.6146000027656555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6092000007629395},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5267000198364258},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.47049999237060547},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.4180000126361847},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38029998540878296},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3248000144958496},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.30149999260902405},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2736000120639801},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2700999975204468},{"id":"https://openalex.org/C10728891","wikidata":"https://www.wikidata.org/wiki/Q584521","display_name":"Homeomorphism (graph theory)","level":2,"score":0.2565999925136566}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/com-230443","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-230443","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W19739292","https://openalex.org/W969911513","https://openalex.org/W1971613396","https://openalex.org/W1977351216","https://openalex.org/W2056300881","https://openalex.org/W2120450003","https://openalex.org/W2170548097","https://openalex.org/W2186349051","https://openalex.org/W2569523952","https://openalex.org/W2762847995","https://openalex.org/W2964083978","https://openalex.org/W3100350328","https://openalex.org/W3150340243","https://openalex.org/W4241361262","https://openalex.org/W4285236051"],"related_works":[],"abstract_inverted_index":{"Topological":[0],"models":[1],"are":[2,24],"sometimes":[3],"used":[4,23],"to":[5],"prove":[6],"independence":[7],"results":[8],"in":[9],"constructive":[10],"mathematics.":[11],"Here":[12],"we":[13],"show":[14],"that":[15,20],"some":[16],"of":[17],"the":[18],"topologies":[19],"have":[21],"been":[22],"necessary":[25],"for":[26],"those":[27],"results.":[28]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-17T00:00:00"}