{"id":"https://openalex.org/W2044365447","doi":"https://doi.org/10.2178/jsl/1230396930","title":"Power-collapsing games","display_name":"Power-collapsing games","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2044365447","doi":"https://doi.org/10.2178/jsl/1230396930","mag":"2044365447"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1230396930","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1230396930","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/A5046761559","display_name":"Milo\u0161 S. Kurili\u0107","orcid":"https://orcid.org/0000-0002-9268-4205"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Milo\u0161 S. Kurili\u0107","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail:","Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail: milos@im.ns.ac.yu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail:","institution_ids":["https://openalex.org/I170726198"]},{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail: milos@im.ns.ac.yu","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036576317","display_name":"Boris \u0160obot","orcid":"https://orcid.org/0000-0002-4848-0678"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Boris \u0160obot","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail:","Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail: sobot@im.ns.ac.yu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail:","institution_ids":["https://openalex.org/I170726198"]},{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia, E-mail: sobot@im.ns.ac.yu","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":null,"apc_paid":null,"fwci":0.9106,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72611102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"4","first_page":"1433","last_page":"1457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9980999827384949,"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":0.9817000031471252,"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/mathematics","display_name":"Mathematics","score":0.6649851202964783},{"id":"https://openalex.org/keywords/white","display_name":"White (mutation)","score":0.6276624202728271},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6007003784179688},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.5723820328712463},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5711939334869385},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5339217185974121},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5193975567817688},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.4985172748565674},{"id":"https://openalex.org/keywords/power-set","display_name":"Power set","score":0.45453861355781555},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.44362467527389526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41152676939964294},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.23861289024353027},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.20296475291252136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1941015124320984},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1759854257106781},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.16087213158607483},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07057207822799683}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6649851202964783},{"id":"https://openalex.org/C56273599","wikidata":"https://www.wikidata.org/wiki/Q3122841","display_name":"White (mutation)","level":3,"score":0.6276624202728271},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6007003784179688},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.5723820328712463},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5711939334869385},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5339217185974121},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5193975567817688},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.4985172748565674},{"id":"https://openalex.org/C100643331","wikidata":"https://www.wikidata.org/wiki/Q205170","display_name":"Power set","level":3,"score":0.45453861355781555},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.44362467527389526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41152676939964294},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.23861289024353027},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.20296475291252136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1941015124320984},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1759854257106781},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.16087213158607483},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07057207822799683},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1230396930","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1230396930","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/1230396930","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1230396930","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1522396221","https://openalex.org/W1978413491","https://openalex.org/W1996235784","https://openalex.org/W2021604435","https://openalex.org/W2066500200","https://openalex.org/W2103224186","https://openalex.org/W4250230991"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2971214053","https://openalex.org/W2369178846","https://openalex.org/W2082716031","https://openalex.org/W2370289839","https://openalex.org/W227442115","https://openalex.org/W2063027136","https://openalex.org/W3194092910","https://openalex.org/W2038087878"],"abstract_inverted_index":{"Abstract":[0],"The":[1,67,110],"game":[2,69,215],"is":[3,23,114,153,161,174,199,209,216],"played":[4],"on":[5,212],"a":[6,32,79,92,104,117,146,175,183,210],"complete":[7],"Boolean":[8],"algebra":[9],",":[10,142],"by":[11,136],"two":[12],"players.":[13],"White":[14,30,43,59,102,144,179],"and":[15,51,65,120,134],"Black,":[16],"in":[17,116,121,157],"\u03ba":[18,22,84,93,107,131,141,152,156,189,193,205],"-many":[19],"moves":[20],"(where":[21],"an":[24],"infinite":[25,187],"cardinal).":[26],"At":[27],"the":[28,39,98,138,149,165,214],"beginning":[29],"chooses":[31,44],"non-zero":[33],"element":[34],"p":[35,45,49],"\u2208":[36,47,108,132,190,206],".":[37,63,66,109],"In":[38,125],"\u03b1":[40,46,56],"-th":[41],"move":[42],"(0,":[48],")":[50,88],"Black":[52,77],"responds":[53],"choosing":[54],"i":[55],"\u2208{0,":[57],"1}.":[58],"winsthe":[60],"play":[61],"iff":[62,148],"where":[64],"corresponding":[68],"theoretic":[70],"properties":[71],"of":[72,112,123,140],"c.B.a.'s":[73],"are":[74],"investigated.":[75],"So,":[76],"has":[78,103,145,182],"winning":[80],"strategy":[81],"(w.s.)":[82],"if":[83,90,101,127],"\u2265":[85],"\u03c0":[86],"(":[87],"or":[89],"contains":[91],"-closed":[94],"dense":[95],"subset.":[96],"On":[97],"other":[99],"hand,":[100],"w.s.,":[105],"then":[106,143],"existence":[111],"w.s.":[113,147,184],"characterized":[115],"combinatorial":[118],"way":[119],"terms":[122],"forcing.":[124],"particular,":[126],"2":[128,151],"&lt;\u03ba":[129],"=":[130],"Reg":[133,172,207],"forcing":[135],"preserves":[137],"regularity":[139],"power":[150],"collapsed":[154],"to":[155],"some":[158],"extension.":[159],"It":[160],"shown":[162,200],"that,":[163],"under":[164],"GCH,":[166],"for":[167,185,203],"each":[168,186,204],"set":[169],"S":[170,191,195],"\u2286":[171],"there":[173,208],"c.B.a.":[176,211],"such":[177],"that":[178,202],"(respectively.":[180],"Black)":[181],"cardinal":[188],"(resp.":[192],"\u2209":[194],").":[196],"Also":[197],"it":[198],"consistent":[201],"which":[213],"undetermined.":[217]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
