{"id":"https://openalex.org/W2162141842","doi":"https://doi.org/10.2307/2274639","title":"On the existence of large <i>p</i>-ideals","display_name":"On the existence of large <i>p</i>-ideals","publication_year":1990,"publication_date":"1990-06-01","ids":{"openalex":"https://openalex.org/W2162141842","doi":"https://doi.org/10.2307/2274639","mag":"2162141842"},"language":"en","primary_location":{"id":"doi:10.2307/2274639","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274639","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/A5055453344","display_name":"Winfried Just","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ","PL"],"is_corresponding":true,"raw_author_name":"Winfried Just","raw_affiliation_strings":["Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","University of Warsaw, Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"University of Warsaw, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114010753","display_name":"A. R. D. Mathias","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I4210157750","display_name":"Aurora College","ror":"https://ror.org/05bn6qf70","country_code":"CA","type":"education","lineage":["https://openalex.org/I4210157750"]},{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA","CZ"],"is_corresponding":false,"raw_author_name":"A. R. D. Mathias","raw_affiliation_strings":["Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","Erindale College, University of Toronto, Toronto, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Erindale College, University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I4210157750","https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049789433","display_name":"Karel Prikry","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Karel Prikry","raw_affiliation_strings":["Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","Peterhouse, Cambridge CB2 1RD, England"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Peterhouse, Cambridge CB2 1RD, England","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103130680","display_name":"Petr \u0160imon","orcid":"https://orcid.org/0000-0001-7658-3706"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ","US"],"is_corresponding":false,"raw_author_name":"Petr Simon","raw_affiliation_strings":["Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Charles University, 186 00 Prague 8, Czechoslovakia","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055453344"],"corresponding_institution_ids":["https://openalex.org/I21250087","https://openalex.org/I4654613"],"apc_list":null,"apc_paid":null,"fwci":0.7266,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.75726193,"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":"457","last_page":"465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9973000288009644,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/set","display_name":"Set (abstract data type)","score":0.6377116441726685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6086835861206055},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37711048126220703},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34974852204322815},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33826902508735657},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3314482867717743},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23926010727882385},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0600428581237793}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6377116441726685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6086835861206055},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37711048126220703},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34974852204322815},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33826902508735657},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3314482867717743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23926010727882385},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0600428581237793}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2307/2274639","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274639","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W60306597","https://openalex.org/W170265681","https://openalex.org/W793842296","https://openalex.org/W866141558","https://openalex.org/W872818295","https://openalex.org/W913203505","https://openalex.org/W1974828116","https://openalex.org/W2055686150","https://openalex.org/W2065087103","https://openalex.org/W2094083598","https://openalex.org/W2503186209","https://openalex.org/W4211074246","https://openalex.org/W4248490242"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W4288278856","https://openalex.org/W2572370460","https://openalex.org/W1976691234"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"the":[3],"existence":[4],"of":[5,12],"p":[6],"-ideals":[7],"that":[8],"are":[9],"nonmeagre":[10],"subsets":[11],"(":[13],"\u03c9":[14],")":[15],"under":[16],"various":[17],"set-theoretic":[18],"assumptions.":[19]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-01-14T23:40:02.550235","created_date":"2025-10-10T00:00:00"}
