{"id":"https://openalex.org/W2162497784","doi":"https://doi.org/10.2307/2274657","title":"Finite support iteration and strong measure zero sets","display_name":"Finite support iteration and strong measure zero sets","publication_year":1990,"publication_date":"1990-06-01","ids":{"openalex":"https://openalex.org/W2162497784","doi":"https://doi.org/10.2307/2274657","mag":"2162497784"},"language":"en","primary_location":{"id":"doi:10.2307/2274657","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274657","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/A5086050031","display_name":"Janusz Pawlikowski","orcid":"https://orcid.org/0000-0003-2022-6608"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]},{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL","US"],"is_corresponding":true,"raw_author_name":"Janusz Pawlikowski","raw_affiliation_strings":["Department of Mathematics, University of Colorado, Boulder, Colorado 80309","Institute of Mathematics, University of Wroc\u0142aw, 50-384 Wroc\u0142aw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Colorado, Boulder, Colorado 80309","institution_ids":["https://openalex.org/I188538660"]},{"raw_affiliation_string":"Institute of Mathematics, University of Wroc\u0142aw, 50-384 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086050031"],"corresponding_institution_ids":["https://openalex.org/I188538660","https://openalex.org/I219388962","https://openalex.org/I4210137370"],"apc_list":null,"apc_paid":null,"fwci":2.1355,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8728387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"55","issue":"2","first_page":"674","last_page":"677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.9908000230789185,"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":0.9905999898910522,"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/measure","display_name":"Measure (data warehouse)","score":0.8029857873916626},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.7745069265365601},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6746578216552734},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6566397547721863},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6325069665908813},{"id":"https://openalex.org/keywords/null-set","display_name":"Null set","score":0.5628169775009155},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.5600665807723999},{"id":"https://openalex.org/keywords/borel-measure","display_name":"Borel measure","score":0.4761222004890442},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4111780524253845},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4082537293434143},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3599470853805542},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35175085067749023},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.328605592250824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3183729946613312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21922484040260315},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.13975748419761658},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07433640956878662}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8029857873916626},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7745069265365601},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6746578216552734},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6566397547721863},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6325069665908813},{"id":"https://openalex.org/C55375708","wikidata":"https://www.wikidata.org/wiki/Q1201815","display_name":"Null set","level":3,"score":0.5628169775009155},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.5600665807723999},{"id":"https://openalex.org/C166758865","wikidata":"https://www.wikidata.org/wiki/Q892585","display_name":"Borel measure","level":3,"score":0.4761222004890442},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4111780524253845},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4082537293434143},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3599470853805542},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35175085067749023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.328605592250824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3183729946613312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21922484040260315},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.13975748419761658},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07433640956878662},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2274657","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274657","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183743324","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183743324","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W196788981","https://openalex.org/W2011601728","https://openalex.org/W2083999135"],"related_works":["https://openalex.org/W4388321124","https://openalex.org/W1562585572","https://openalex.org/W2049282759","https://openalex.org/W2125136291","https://openalex.org/W2358836966","https://openalex.org/W1505122006","https://openalex.org/W2034486001","https://openalex.org/W4253312732","https://openalex.org/W4242862170","https://openalex.org/W2328684623"],"abstract_inverted_index":{"Abstract":[0],"Any":[1],"finite":[2],"support":[3],"iteration":[4],"of":[5,15],"posets":[6],"with":[7],"precalibre":[8],"\u2135":[9,37],"1":[10,20,38],"which":[11,30],"has":[12],"the":[13,25,31],"length":[14],"cofinahty":[16],"greater":[17],"than":[18],"\u03c9":[19],"yields":[21],"a":[22],"model":[23],"for":[24],"dual":[26],"Borel":[27],"conjecture":[28],"in":[29],"real":[32],"line":[33],"is":[34],"covered":[35],"by":[36],"strong":[39],"measure":[40],"zero":[41],"sets.":[42]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
