{"id":"https://openalex.org/W2026586011","doi":"https://doi.org/10.1002/malq.200310039","title":"Some weak forms of the Baire category theorem","display_name":"Some weak forms of the Baire category theorem","publication_year":2003,"publication_date":"2003-05-13","ids":{"openalex":"https://openalex.org/W2026586011","doi":"https://doi.org/10.1002/malq.200310039","mag":"2026586011"},"language":"en","primary_location":{"id":"doi:10.1002/malq.200310039","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.200310039","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.200310039","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","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.200310039","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082688034","display_name":"Kyriakos Kermedis","orcid":null},"institutions":[{"id":"https://openalex.org/I98805295","display_name":"University of the Aegean","ror":"https://ror.org/03zsp3p94","country_code":"GR","type":"education","lineage":["https://openalex.org/I98805295"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Kyriakos Kermedis","raw_affiliation_strings":["Department of Mathematics, University of the Aegean, Karlovassi, 83200, Samos, Greece","Department of Mathematics; University of the Aegean; Karlovassi 83200 Samos Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Aegean, Karlovassi, 83200, Samos, Greece","institution_ids":["https://openalex.org/I98805295"]},{"raw_affiliation_string":"Department of Mathematics; University of the Aegean; Karlovassi 83200 Samos Greece","institution_ids":["https://openalex.org/I98805295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082688034"],"corresponding_institution_ids":["https://openalex.org/I98805295"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.431,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59243748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"4","first_page":"369","last_page":"374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9984999895095825,"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":0.9984999895095825,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9855999946594238,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9381999969482422,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9008389711380005},{"id":"https://openalex.org/keywords/baire-category-theorem","display_name":"Baire category theorem","score":0.8766162395477295},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"Axiom of choice","score":0.848569393157959},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7171602845191956},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.7134084105491638},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6141490340232849},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.6074343919754028},{"id":"https://openalex.org/keywords/baire-measure","display_name":"Baire measure","score":0.6019564867019653},{"id":"https://openalex.org/keywords/baire-space","display_name":"Baire space","score":0.5771169662475586},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.4910576343536377},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4599425494670868},{"id":"https://openalex.org/keywords/zermelo\u2013fraenkel-set-theory","display_name":"Zermelo\u2013Fraenkel set theory","score":0.43038275837898254},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37560826539993286},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.22100374102592468},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.14225342869758606},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11022377014160156}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9008389711380005},{"id":"https://openalex.org/C44659138","wikidata":"https://www.wikidata.org/wiki/Q1052678","display_name":"Baire category theorem","level":2,"score":0.8766162395477295},{"id":"https://openalex.org/C151797676","wikidata":"https://www.wikidata.org/wiki/Q179692","display_name":"Axiom of choice","level":4,"score":0.848569393157959},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7171602845191956},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.7134084105491638},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6141490340232849},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.6074343919754028},{"id":"https://openalex.org/C189892329","wikidata":"https://www.wikidata.org/wiki/Q2577940","display_name":"Baire measure","level":2,"score":0.6019564867019653},{"id":"https://openalex.org/C166359235","wikidata":"https://www.wikidata.org/wiki/Q1150180","display_name":"Baire space","level":2,"score":0.5771169662475586},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.4910576343536377},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4599425494670868},{"id":"https://openalex.org/C51460","wikidata":"https://www.wikidata.org/wiki/Q191849","display_name":"Zermelo\u2013Fraenkel set theory","level":5,"score":0.43038275837898254},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37560826539993286},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.22100374102592468},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.14225342869758606},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11022377014160156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.200310039","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.200310039","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.200310039","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","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.200310039","is_oa":true,"landing_page_url":"https://doi.org/10.1002/malq.200310039","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/malq.200310039","source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","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":[{"display_name":"Reduced inequalities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2026586011.pdf"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1608084331","https://openalex.org/W1978911266","https://openalex.org/W1986138184","https://openalex.org/W1992145931","https://openalex.org/W1994912332","https://openalex.org/W2017523153","https://openalex.org/W2069535152"],"related_works":["https://openalex.org/W2995769104","https://openalex.org/W2374361304","https://openalex.org/W2589397755","https://openalex.org/W1528076845","https://openalex.org/W2025164011","https://openalex.org/W2412485260","https://openalex.org/W1562119644","https://openalex.org/W2026586011","https://openalex.org/W3096394840","https://openalex.org/W1978911266"],"abstract_inverted_index":{"Abstract":[0],"We":[1,40],"show":[2],"that":[3],"the":[4,36,46],"statement":[5],"(K12)":[6],"\u201cseparable,":[7],"countably":[8],"compact,":[9],"regular":[10],"spaces":[11],"are":[12],"Baire\u201d":[13],"is":[14],"deducible":[15],"from":[16],"a":[17],"strictly":[18],"weaker":[19],"form":[20],"than":[21],"AC,":[22],"namely,":[23],"CAC(\u211d)":[24],"(the":[25],"axiom":[26,47],"of":[27,32,35,45,48],"choice":[28],"for":[29],"countable":[30],"families":[31],"non\u2010empty":[33],"subsets":[34],"real":[37],"line":[38],"\u211d).":[39],"also":[41],"find":[42],"some":[43],"characterizations":[44],"dependent":[49],"choices.":[50]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
