{"id":"https://openalex.org/W2801945171","doi":"https://doi.org/10.1002/malq.201600059","title":"Two new equivalents of Lindel\u00f6f metric spaces","display_name":"Two new equivalents of Lindel\u00f6f metric spaces","publication_year":2018,"publication_date":"2018-04-01","ids":{"openalex":"https://openalex.org/W2801945171","doi":"https://doi.org/10.1002/malq.201600059","mag":"2801945171"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201600059","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201600059","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028285276","display_name":"Kyriakos Keremedis","orcid":"https://orcid.org/0000-0001-8453-3477"},"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 Keremedis","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/A5028285276"],"corresponding_institution_ids":["https://openalex.org/I98805295"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13534463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"1-2","first_page":"37","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9987000226974487,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9987000226974487,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8226313591003418},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6610575914382935},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.615947961807251},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5967974066734314},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5333514213562012},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.5156123042106628},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4744599759578705},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4674597382545471},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4286476969718933},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4258626401424408},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11475428938865662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.062244415283203125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8226313591003418},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6610575914382935},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.615947961807251},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5967974066734314},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5333514213562012},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.5156123042106628},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4744599759578705},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4674597382545471},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4286476969718933},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4258626401424408},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11475428938865662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.062244415283203125},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.201600059","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201600059","pdf_url":null,"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1608084331","https://openalex.org/W2029963537","https://openalex.org/W2030402678","https://openalex.org/W2066315063"],"related_works":["https://openalex.org/W4297571715","https://openalex.org/W2512721618","https://openalex.org/W612762584","https://openalex.org/W4378718485","https://openalex.org/W2953737860","https://openalex.org/W1566741742","https://openalex.org/W2889640857","https://openalex.org/W2020756756","https://openalex.org/W1985684185","https://openalex.org/W4294954964"],"abstract_inverted_index":{"Abstract":[0],"In":[1,31],"the":[2,8,34,40,92,100,107],"realm":[3],"of":[4,37,59,95],"Lindel\u00f6f":[5,19,27,70],"metric":[6,20,49,71,86,113],"spaces":[7],"following":[9],"results":[10],"are":[11],"obtained":[12],"in":[13,91],":":[14],"(i)":[15],"If":[16],"is":[17,24,51,73,88,115],"a":[18,61],"space":[21,50,72,87,114],"then":[22],"it":[23],"both":[25],"densely":[26],"and":[28,104,120],"almost":[29,52,69],"Lindel\u00f6f.":[30],"addition,":[32],"under":[33],"countable":[35,101],"axiom":[36],"choice":[38,96],",":[39],"three":[41],"notions":[42],"coincide.":[43],"(ii)":[44],"The":[45,66,80],"statement":[46,67,108],"\u201cevery":[47,68,82,109],"separable":[48],"Lindel\u00f6f\u201d":[53],"implies":[54,77],"that":[55],"every":[56],"infinite":[57,63],"subset":[58],"has":[60],"countably":[62],"subset).":[64],"(iii)":[65],"quasi":[74,83],"totally":[75,84],"bounded":[76,85],".":[78,105,121],"(iv)":[79],"proposition":[81],"separable\u201d":[89,116],"lies,":[90],"deductive":[93],"hierarchy":[94],"principles,":[97],"strictly":[98,118],"between":[99,119],"union":[102],"theorem":[103],"Likewise,":[106],"pre\u2010Lindel\u00f6f":[110],"(or":[111],"Lindel\u00f6f)":[112],"lies":[117]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}