{"id":"https://openalex.org/W4200478830","doi":"https://doi.org/10.3390/axioms11010006","title":"Baire-Type Properties in Metrizable c0(\u03a9, X)","display_name":"Baire-Type Properties in Metrizable c0(\u03a9, X)","publication_year":2021,"publication_date":"2021-12-23","ids":{"openalex":"https://openalex.org/W4200478830","doi":"https://doi.org/10.3390/axioms11010006"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11010006","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11010006","pdf_url":"https://www.mdpi.com/2075-1680/11/1/6/pdf?version=1640249331","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/1/6/pdf?version=1640249331","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028978902","display_name":"Salvador L\u00f3pez-Alfonso","orcid":"https://orcid.org/0000-0003-1655-2320"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Salvador L\u00f3pez-Alfonso","raw_affiliation_strings":["Departamento de Construcciones Arquitect\u00f3nicas, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain"],"raw_orcid":"https://orcid.org/0000-0003-1655-2320","affiliations":[{"raw_affiliation_string":"Departamento de Construcciones Arquitect\u00f3nicas, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086061059","display_name":"Manuel L\u00f3pez\u2010Pellicer","orcid":"https://orcid.org/0000-0002-3918-1713"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Manuel L\u00f3pez-Pellicer","raw_affiliation_strings":["IUMPA, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain"],"raw_orcid":"https://orcid.org/0000-0002-3918-1713","affiliations":[{"raw_affiliation_string":"IUMPA, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067817390","display_name":"Santiago Moll-L\u00f3pez","orcid":"https://orcid.org/0000-0003-3388-5135"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Santiago Moll-L\u00f3pez","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain"],"raw_orcid":"https://orcid.org/0000-0003-3388-5135","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada, Universitat Polit\u00e8cnica de Val\u00e8ncia, 46022 Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086061059"],"corresponding_institution_ids":["https://openalex.org/I60053951"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.4301,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61164572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"1","first_page":"6","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9994000196456909,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9994000196456909,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9976000189781189,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9925000071525574,"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/metrization-theorem","display_name":"Metrization theorem","score":0.9408347010612488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7647002935409546},{"id":"https://openalex.org/keywords/baire-space","display_name":"Baire space","score":0.5811786651611328},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5120225548744202},{"id":"https://openalex.org/keywords/locally-convex-topological-vector-space","display_name":"Locally convex topological vector space","score":0.5092757940292358},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4673953950405121},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46355026960372925},{"id":"https://openalex.org/keywords/baire-category-theorem","display_name":"Baire category theorem","score":0.430191308259964},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.420526385307312},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3855285048484802},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.35296306014060974},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.13588860630989075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10985526442527771},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.052497655153274536}],"concepts":[{"id":"https://openalex.org/C105433845","wikidata":"https://www.wikidata.org/wiki/Q1194053","display_name":"Metrization theorem","level":3,"score":0.9408347010612488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7647002935409546},{"id":"https://openalex.org/C166359235","wikidata":"https://www.wikidata.org/wiki/Q1150180","display_name":"Baire space","level":2,"score":0.5811786651611328},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5120225548744202},{"id":"https://openalex.org/C58228006","wikidata":"https://www.wikidata.org/wiki/Q1572357","display_name":"Locally convex topological vector space","level":3,"score":0.5092757940292358},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4673953950405121},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46355026960372925},{"id":"https://openalex.org/C44659138","wikidata":"https://www.wikidata.org/wiki/Q1052678","display_name":"Baire category theorem","level":2,"score":0.430191308259964},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.420526385307312},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3855285048484802},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.35296306014060974},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.13588860630989075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10985526442527771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.052497655153274536},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/axioms11010006","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11010006","pdf_url":"https://www.mdpi.com/2075-1680/11/1/6/pdf?version=1640249331","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:26c724040adb401d9efde06f6718dd9a","is_oa":true,"landing_page_url":"https://doaj.org/article/26c724040adb401d9efde06f6718dd9a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 1, p 6 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/1/6/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11010006","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Axioms; Volume 11; Issue 1; Pages: 6","raw_type":"Text"},{"id":"pmh:oai:riunet.upv.es:10251/190058","is_oa":true,"landing_page_url":"https://riunet.upv.es/bitstreams/db4351f7-6dff-453c-a66c-712ca40c64f0/download","pdf_url":null,"source":{"id":"https://openalex.org/S4306400639","display_name":"RiuNet (Universitat Polit\u00e8cnica de Val\u00e8ncia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60053951","host_organization_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","host_organization_lineage":["https://openalex.org/I60053951"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.3390/axioms11010006","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11010006","pdf_url":"https://www.mdpi.com/2075-1680/11/1/6/pdf?version=1640249331","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3293477846","display_name":null,"funder_award_id":"PGC2018-094431-B-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G6728930308","display_name":null,"funder_award_id":"PGC 2018","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200478830.pdf","grobid_xml":"https://content.openalex.org/works/W4200478830.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W245174327","https://openalex.org/W605624406","https://openalex.org/W1531605312","https://openalex.org/W1579612318","https://openalex.org/W1967750622","https://openalex.org/W1968841328","https://openalex.org/W2001064490","https://openalex.org/W2022039884","https://openalex.org/W2024946053","https://openalex.org/W2036735381","https://openalex.org/W2038197265","https://openalex.org/W2047450669","https://openalex.org/W2048320962","https://openalex.org/W2054666683","https://openalex.org/W2086126827","https://openalex.org/W2094581194","https://openalex.org/W2094804702","https://openalex.org/W2304172387","https://openalex.org/W2316825817","https://openalex.org/W3135183365","https://openalex.org/W4213359721","https://openalex.org/W4231015384","https://openalex.org/W4301506434","https://openalex.org/W6609331732","https://openalex.org/W6677466022"],"related_works":["https://openalex.org/W2374361304","https://openalex.org/W2995769104","https://openalex.org/W2109512325","https://openalex.org/W1759778741","https://openalex.org/W4287817670","https://openalex.org/W3015058710","https://openalex.org/W2335463208","https://openalex.org/W3035610716","https://openalex.org/W2023470508","https://openalex.org/W2048320962"],"abstract_inverted_index":{"Ferrando":[0],"and":[1,10,26,82,102,121,127,142,161,167,193],"L\u00fcdkovsky":[2],"proved":[3,105],"that":[4,78,106,154],"for":[5,79],"a":[6,11,40],"non-empty":[7],"set":[8,85],"\u03a9":[9],"normed":[12,16],"space":[13,17,62,109],"X,":[14],"the":[15,58,64,68,84,92,96,107,155,176],"c0(\u03a9,X)":[18,56,110,157],"is":[19,39,57,87,111,153,158,165,170],"barrelled,":[20,32,113,114,120,134,135,141],"ultrabornological,":[21,33,115,136],"or":[22,34,70,89],"unordered":[23,35,117,138],"Baire-like":[24],"if":[25,28,126,129,160,163],"only":[27,128,162],"X":[29,38,130,164],"is,":[30,131],"respectively,":[31,132],"Baire-like.":[36],"When":[37],"metrizable":[41,59,108,156],"locally":[42,60],"convex":[43,61],"space,":[44],"with":[45,91,175],"an":[46],"increasing":[47],"sequence":[48],"of":[49,73,123,144,150,178,186],"semi-norms":[50,97],".n\u2208N":[51],"defining":[52],"its":[53,168],"topology,":[54],"then":[55],"over":[63],"field":[65],"K":[66],"(of":[67],"real":[69],"complex":[71],"numbers)":[72],"all":[74],"functions":[75],"f:\u03a9\u2192X":[76],"such":[77],"each":[80],"\u03b5>0":[81],"n\u2208N":[83],"\u03c9\u2208\u03a9:f(\u03c9)n>\u03b5":[86],"finite":[88],"empty,":[90],"topology":[93],"defined":[94],"by":[95],"fn=supf(\u03c9)n:\u03c9\u2208\u03a9,":[98],"n\u2208N.":[99],"K\u0105kol,":[100],"L\u00f3pez-Pellicer":[101],"Moll-L\u00f3pez":[103],"also":[104,198],"quasi":[112,133],"bornological,":[116,137],"Baire-like,":[118,139],"totally":[119,140],"barrelled":[122,143],"class":[124,145],"p":[125],"p.":[146],"The":[147],"main":[148],"result":[149,188],"this":[151,187],"paper":[152],"baireled":[159],"baireled,":[166],"proof":[169],"divided":[171],"in":[172],"several":[173],"lemmas,":[174],"aim":[177],"making":[179],"it":[180],"easier":[181],"to":[182,189],"read.":[183],"An":[184],"application":[185],"closed":[190],"graph":[191],"theorem,":[192],"two":[194],"open":[195],"problems":[196],"are":[197],"presented.":[199]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2021-12-31T00:00:00"}