{"id":"https://openalex.org/W2065450519","doi":"https://doi.org/10.2307/2274577","title":"On the transversal hypothesis and the weak kurepa hypothesis","display_name":"On the transversal hypothesis and the weak kurepa hypothesis","publication_year":1988,"publication_date":"1988-09-01","ids":{"openalex":"https://openalex.org/W2065450519","doi":"https://doi.org/10.2307/2274577","mag":"2065450519"},"language":"en","primary_location":{"id":"doi:10.2307/2274577","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274577","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/A5103495919","display_name":"D. J. Walker","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D. J. Walker","raw_affiliation_strings":["Balliol College, Oxford OX1 3BJ, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Balliol College, Oxford OX1 3BJ, England","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103495919"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.21413043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"3","first_page":"854","last_page":"877"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9965000152587891,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9882000088691711,"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/transversal","display_name":"Transversal (combinatorics)","score":0.8075093030929565},{"id":"https://openalex.org/keywords/assertion","display_name":"Assertion","score":0.7756162881851196},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7412118315696716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6557520627975464},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6467862129211426},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.5221731662750244},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5012011528015137},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4350973665714264},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4188828468322754},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14391064643859863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08621343970298767},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07361477613449097},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.05913934111595154}],"concepts":[{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.8075093030929565},{"id":"https://openalex.org/C40422974","wikidata":"https://www.wikidata.org/wiki/Q741248","display_name":"Assertion","level":2,"score":0.7756162881851196},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7412118315696716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6557520627975464},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6467862129211426},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.5221731662750244},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5012011528015137},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4350973665714264},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4188828468322754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14391064643859863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08621343970298767},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07361477613449097},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.05913934111595154},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2274577","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274577","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/1183742725","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183742725","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W62629143","https://openalex.org/W568910110","https://openalex.org/W1139854568","https://openalex.org/W2027753458","https://openalex.org/W2055686150","https://openalex.org/W2056715322","https://openalex.org/W2060812686","https://openalex.org/W2130752785","https://openalex.org/W4213337468","https://openalex.org/W4230949960"],"related_works":["https://openalex.org/W1498103021","https://openalex.org/W2271112932","https://openalex.org/W2035655557","https://openalex.org/W4230849338","https://openalex.org/W4295166216","https://openalex.org/W2177044681","https://openalex.org/W1968067090","https://openalex.org/W2222693213","https://openalex.org/W2167396658","https://openalex.org/W2952258011"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"the":[3,6,20,30,48,124,131,173,184,201],"theory":[4],"of":[5,22,24,123,180],"core":[7],"model":[8],"K":[9],"is":[10,33,47,52,92,119,138,177,200,205,239,292,317],"applied":[11],"to":[12,170],"study":[13],"certain":[14],"combinatorial":[15],"principles.":[16],"These":[17],"principles":[18],"concern":[19],"existence":[21],"families":[23],"almost":[25],"disjoint":[26],"functions.":[27],"The":[28,38,167,190],"first,":[29],"transversal":[31,39,187],"hypothesis,":[32,176],"defined":[34],"as":[35],"follows.":[36],"Definition.":[37,189],"hypothesis":[40,126,193],"for":[41,74,127,160,194,224,232,273],"\u03ba":[42,45,61,70,72,77,87,95,114,117,128,134,144,165,195,198,214,223,227,237,251,276,282,289,295,314],",":[43,79,89,129,196,229,283],"T(":[44,116],"),":[46,135,199],"following":[49,202],"assertion:":[50,203],"There":[51,204],"a":[53,120,139,178,206,318],"sequence":[54,207],"\u3008":[55,208],"f":[56,67,98,104,259,298,304],"\u03bd":[57,59,68,75,83,99,210,212,221,225,245,249,260,269,274,285,299],":":[58,69,153,211,242,248],"<":[60,76,84,86,94,111,113,162,164,213,226,236,250,275,281,286,288,294,311,313],"+":[62,78,88,215,228,252,277,290],"\u3009":[63,216],"such":[64,96,146,217,256,296],"that":[65,97,136,147,218,257,297],"(a)":[66,219],"\u2192":[71,254],"regressively":[73],"and":[80,148,186,230,278,315],"(b)":[81,231],"if":[82,284],"\u03be":[85,105,287,305],"then":[90],"there":[91,137,238,291],"\u03b3":[93,110,293,310],"(":[100,106,261,267,300,306],"\u03b1":[101,107,112,152,159,163],")":[102,108,118,145,263,272,302,308],"\u2260":[103,303],"whenever":[109,309],".":[115,166],"simple":[121],"consequence":[122],"Kurepa":[125,175,185,192],"i.e.":[130],"assertion,":[132],"KH(":[133],"family":[140],"F":[141,156,240,265],"\u2282":[142,222],"P(":[143],"card({":[149],"X":[150,154],"\u2229":[151,246,270],"\u03f5":[155],"})":[157],"\u2264":[158],"\u03c9":[161],"second":[168],"principle":[169],"be":[171],"studied,":[172],"weak":[174,191],"statement":[179],"strength":[181],"intermediate":[182],"between":[183],"hypotheses.":[188],"wKH(":[197],"b":[209,220,244,268],"each":[233],"limit":[234,279],"\u03bb":[235,241,247,255,262,266,271,280,301,307,312,316],"{":[243],"}":[253],"setting":[258],"=":[264],"limit.":[319]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}