{"id":"https://openalex.org/W1570244907","doi":"https://doi.org/10.1007/s001530100090","title":"Some remarks on a question of D. H. Fremlin regarding \u03b5-density","display_name":"Some remarks on a question of D. H. Fremlin regarding \u03b5-density","publication_year":2001,"publication_date":"2001-10-01","ids":{"openalex":"https://openalex.org/W1570244907","doi":"https://doi.org/10.1007/s001530100090","mag":"1570244907"},"language":"en","primary_location":{"id":"doi:10.1007/s001530100090","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530100090","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","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/A5066099291","display_name":"Arthur W. Apter","orcid":"https://orcid.org/0000-0002-7091-3628"},"institutions":[{"id":"https://openalex.org/I141810926","display_name":"Baruch College","ror":"https://ror.org/023qavy03","country_code":"US","type":"education","lineage":["https://openalex.org/I141810926"]},{"id":"https://openalex.org/I2800359653","display_name":"CUNY School of Law","ror":"https://ror.org/00jtran50","country_code":"US","type":"education","lineage":["https://openalex.org/I2800359653"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arthur W. Apter","raw_affiliation_strings":["Department of Mathematics, Baruch College of CUNY, New York, NY 10010, USA. e-mail: awabb@cunyvm.cuny.edu, , , , , , US","Department of Mathematics, Baruch College of CUNY, New York, NY 10010, USA (e-mail: awabb@cunyvm.cuny.edu), , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Baruch College of CUNY, New York, NY 10010, USA. e-mail: awabb@cunyvm.cuny.edu, , , , , , US","institution_ids":["https://openalex.org/I141810926","https://openalex.org/I2800359653"]},{"raw_affiliation_string":"Department of Mathematics, Baruch College of CUNY, New York, NY 10010, USA (e-mail: awabb@cunyvm.cuny.edu), , US","institution_ids":["https://openalex.org/I141810926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037145063","display_name":"Mirna D\u017eamonja","orcid":"https://orcid.org/0000-0002-6771-3975"},"institutions":[{"id":"https://openalex.org/I1118541","display_name":"University of East Anglia","ror":"https://ror.org/026k5mg93","country_code":"GB","type":"education","lineage":["https://openalex.org/I1118541"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mirna D\u017eamonja","raw_affiliation_strings":["Department of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK. e-mail: M.Dzamonja@uea.ac.uk, , , , , , GB","Department of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK. e-mail: M.Dzamonja@uea.ac.uk, GB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK. e-mail: M.Dzamonja@uea.ac.uk, , , , , , GB","institution_ids":["https://openalex.org/I1118541"]},{"raw_affiliation_string":"Department of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK. e-mail: M.Dzamonja@uea.ac.uk, GB","institution_ids":["https://openalex.org/I1118541"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.479,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57626216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"7","first_page":"531","last_page":"540"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9908000230789185,"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":0.9682999849319458,"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/cofinality","display_name":"Cofinality","score":0.9170145988464355},{"id":"https://openalex.org/keywords/uncountable-set","display_name":"Uncountable set","score":0.9111779928207397},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8571290969848633},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7444639205932617},{"id":"https://openalex.org/keywords/family-of-sets","display_name":"Family of sets","score":0.6472198963165283},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.6091886162757874},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5537155270576477},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5486180186271667},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.525908350944519},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.48360031843185425},{"id":"https://openalex.org/keywords/infinite-set","display_name":"Infinite set","score":0.48338666558265686},{"id":"https://openalex.org/keywords/nowhere-dense-set","display_name":"Nowhere dense set","score":0.4696708619594574},{"id":"https://openalex.org/keywords/regular-cardinal","display_name":"Regular cardinal","score":0.46746280789375305},{"id":"https://openalex.org/keywords/aleph","display_name":"Aleph","score":0.4131626486778259},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.4105626344680786},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07829394936561584}],"concepts":[{"id":"https://openalex.org/C148070024","wikidata":"https://www.wikidata.org/wiki/Q1283623","display_name":"Cofinality","level":4,"score":0.9170145988464355},{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.9111779928207397},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8571290969848633},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7444639205932617},{"id":"https://openalex.org/C150591576","wikidata":"https://www.wikidata.org/wiki/Q739925","display_name":"Family of sets","level":3,"score":0.6472198963165283},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.6091886162757874},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5537155270576477},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5486180186271667},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.525908350944519},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.48360031843185425},{"id":"https://openalex.org/C199879729","wikidata":"https://www.wikidata.org/wiki/Q205140","display_name":"Infinite set","level":3,"score":0.48338666558265686},{"id":"https://openalex.org/C17327563","wikidata":"https://www.wikidata.org/wiki/Q1991405","display_name":"Nowhere dense set","level":3,"score":0.4696708619594574},{"id":"https://openalex.org/C89507440","wikidata":"https://www.wikidata.org/wiki/Q1193137","display_name":"Regular cardinal","level":2,"score":0.46746280789375305},{"id":"https://openalex.org/C2781424814","wikidata":"https://www.wikidata.org/wiki/Q15033","display_name":"Aleph","level":2,"score":0.4131626486778259},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.4105626344680786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07829394936561584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001530100090","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530100090","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:ueaeprints.uea.ac.uk:19937","is_oa":false,"landing_page_url":"https://ueaeprints.uea.ac.uk/id/eprint/19937/1/arthur.ps","pdf_url":null,"source":{"id":"https://openalex.org/S4306400384","display_name":"UEA Digital Repository (University of East Anglia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1118541","host_organization_name":"University of East Anglia","host_organization_lineage":["https://openalex.org/I1118541"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1000956413","https://openalex.org/W1893408579","https://openalex.org/W1967242789","https://openalex.org/W2008321373","https://openalex.org/W2017219446","https://openalex.org/W2053205169","https://openalex.org/W2063833386"],"related_works":["https://openalex.org/W4289676933","https://openalex.org/W2885719937","https://openalex.org/W4298219619","https://openalex.org/W2167408243","https://openalex.org/W2257297416","https://openalex.org/W3203074460","https://openalex.org/W4388769459","https://openalex.org/W1983041460","https://openalex.org/W4365451811","https://openalex.org/W1570244907"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
