{"id":"https://openalex.org/W2121572010","doi":"https://doi.org/10.2178/jsl/1208358752","title":"<i>\u03ba</i>-stationary subsets of , infinitary games, and distributive laws in Boolean algebras","display_name":"<i>\u03ba</i>-stationary subsets of , infinitary games, and distributive laws in Boolean algebras","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2121572010","doi":"https://doi.org/10.2178/jsl/1208358752","mag":"2121572010"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1208358752","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1208358752","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/A5071491299","display_name":"Natasha Dobrinen","orcid":null},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Natasha Dobrinen","raw_affiliation_strings":["Department of Mathematics, University of Denver, Denver, CO 80208, USA, E-mail:","Department of Mathematics, University of Denver, Denver, CO 80208, USA, E-mail: ndobrine@du.edu, URL: http/www.math.du.edu/dobrinen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Denver, Denver, CO 80208, USA, E-mail:","institution_ids":["https://openalex.org/I131651094"]},{"raw_affiliation_string":"Department of Mathematics, University of Denver, Denver, CO 80208, USA, E-mail: ndobrine@du.edu, URL: http/www.math.du.edu/dobrinen","institution_ids":["https://openalex.org/I131651094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071491299"],"corresponding_institution_ids":["https://openalex.org/I131651094"],"apc_list":null,"apc_paid":null,"fwci":0.4488,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65881472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"73","issue":"1","first_page":"238","last_page":"260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9868999719619751,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/distributive-property","display_name":"Distributive property","score":0.9169400334358215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6800441741943359},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6322169303894043},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42347294092178345},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.358630508184433},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32068461179733276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21616968512535095}],"concepts":[{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.9169400334358215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6800441741943359},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6322169303894043},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42347294092178345},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.358630508184433},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32068461179733276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21616968512535095},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1208358752","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1208358752","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/1208358752","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1208358752","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":[{"id":"https://metadata.un.org/sdg/16","score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1144046805","https://openalex.org/W1522396221","https://openalex.org/W1969653411","https://openalex.org/W1981974712","https://openalex.org/W1996235784","https://openalex.org/W2030469676","https://openalex.org/W2045722654","https://openalex.org/W2051090768","https://openalex.org/W2058480689","https://openalex.org/W2066500200","https://openalex.org/W2073204519","https://openalex.org/W2075570681","https://openalex.org/W2081899681","https://openalex.org/W2086022250","https://openalex.org/W2551720480","https://openalex.org/W2914247088","https://openalex.org/W4229892815"],"related_works":["https://openalex.org/W2782952219","https://openalex.org/W3130067708","https://openalex.org/W3011046085","https://openalex.org/W1989920940","https://openalex.org/W4249580765","https://openalex.org/W2096753949","https://openalex.org/W3103780039","https://openalex.org/W1985218657","https://openalex.org/W1557945163","https://openalex.org/W2963341196"],"abstract_inverted_index":{"Abstract":[0],"We":[1,117],"characterize":[2],"the":[3,65,89,94,106,128],"(":[4,129],"\u03ba,":[5,54],"\u03bb":[6,28,60,72],",":[7,22,61,79,131],"&lt;":[8,31,75],"\u03bc":[9,24,56,58,68],")-distributive":[10],"law":[11],"in":[12,15,93,122,142],"Boolean":[13,120,140],"algebras":[14,121,141],"terms":[16],"of":[17,45,52,92,108,115],"cut":[18],"and":[19,29,73,111],"choose":[20],"games":[21,145],"when":[23,67],"\u2264":[25,27,59,69,71],"\u03ba":[26,30,32,34,70,74,76,78,90,109,112,130,133],"=":[33,77],".":[35,100,116],"This":[36],"builds":[37],"on":[38],"previous":[39],"work":[40],"to":[41,86],"yield":[42],"game-theoretic":[43],"characterizations":[44],"distributive":[46],"laws":[47],"for":[48],"almost":[49],"all":[50],"triples":[51],"cardinals":[53],"\u03bb,":[55],"with":[57],"under":[62],"GCH.":[63],"In":[64,101],"case":[66],"we":[80,104],"show":[81],"that":[82],"it":[83],"is":[84,97],"necessary":[85],"consider":[87],"whether":[88],"-stationarity":[91],"ground":[95],"model":[96],"preserved":[98],"by":[99],"this":[102],"vein,":[103],"develop":[105],"theory":[107],"-club":[110],"-stationary":[113],"subsets":[114],"also":[118],"construct":[119,139],"which":[123,143],"Player":[124],"I":[125],"wins":[126],"but":[127],"\u221e,":[132],")-d.1.":[134],"holds,":[135],"and,":[136],"assuming":[137],"GCH,":[138],"many":[144],"are":[146],"undetermined.":[147]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}