{"id":"https://openalex.org/W2944555146","doi":"https://doi.org/10.1215/00294527-2019-0004","title":"Closed Maximality Principles and Generalized Baire Spaces","display_name":"Closed Maximality Principles and Generalized Baire Spaces","publication_year":2019,"publication_date":"2019-05-01","ids":{"openalex":"https://openalex.org/W2944555146","doi":"https://doi.org/10.1215/00294527-2019-0004","mag":"2944555146"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2019-0004","is_oa":false,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0004","pdf_url":null,"source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal 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/A5027259155","display_name":"Philipp L\u00fccke","orcid":"https://orcid.org/0000-0001-8746-5887"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Philipp L\u00fccke","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027259155"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7598,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67800667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"60","issue":"2","first_page":null,"last_page":null},"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":0.9934999942779541,"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":0.974399983882904,"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/uncountable-set","display_name":"Uncountable set","score":0.8940672874450684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8606706857681274},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7916249632835388},{"id":"https://openalex.org/keywords/separation-axiom","display_name":"Separation axiom","score":0.6616639494895935},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6556099653244019},{"id":"https://openalex.org/keywords/regular-cardinal","display_name":"Regular cardinal","score":0.5178161263465881},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5023012161254883},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43695706129074097},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.1889396607875824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09477144479751587},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04746565222740173},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04330557584762573}],"concepts":[{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.8940672874450684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8606706857681274},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7916249632835388},{"id":"https://openalex.org/C40409056","wikidata":"https://www.wikidata.org/wiki/Q1140985","display_name":"Separation axiom","level":3,"score":0.6616639494895935},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6556099653244019},{"id":"https://openalex.org/C89507440","wikidata":"https://www.wikidata.org/wiki/Q1193137","display_name":"Regular cardinal","level":2,"score":0.5178161263465881},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5023012161254883},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43695706129074097},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.1889396607875824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09477144479751587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04746565222740173},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04330557584762573}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1215/00294527-2019-0004","is_oa":false,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0004","pdf_url":null,"source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1557281186","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1557281186","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":32,"referenced_works":["https://openalex.org/W34438034","https://openalex.org/W99672212","https://openalex.org/W1004044009","https://openalex.org/W1539382740","https://openalex.org/W1844253219","https://openalex.org/W1969238049","https://openalex.org/W1979719505","https://openalex.org/W1998922975","https://openalex.org/W2018421936","https://openalex.org/W2028921653","https://openalex.org/W2069077298","https://openalex.org/W2075193598","https://openalex.org/W2077127157","https://openalex.org/W2084557610","https://openalex.org/W2100246841","https://openalex.org/W2157352249","https://openalex.org/W2169065977","https://openalex.org/W2170135945","https://openalex.org/W2185258205","https://openalex.org/W2223692167","https://openalex.org/W2317908859","https://openalex.org/W2320441726","https://openalex.org/W2377287547","https://openalex.org/W2519693913","https://openalex.org/W2549039944","https://openalex.org/W2751908908","https://openalex.org/W2765557947","https://openalex.org/W2963220689","https://openalex.org/W3107047024","https://openalex.org/W4244549201","https://openalex.org/W4247372698","https://openalex.org/W4256173136"],"related_works":["https://openalex.org/W4289676933","https://openalex.org/W2950296149","https://openalex.org/W2885719937","https://openalex.org/W4297981628","https://openalex.org/W2952331208","https://openalex.org/W4298219619","https://openalex.org/W3166038717","https://openalex.org/W2097355897","https://openalex.org/W2567038806","https://openalex.org/W2557290701"],"abstract_inverted_index":{"Given":[0],"an":[1],"uncountable":[2],"regular":[3],"cardinal":[4,57],"\u03ba,":[5],"we":[6,62],"study":[7],"the":[8,12,27,50,83],"structural":[9],"properties":[10],"of":[11,14,17,52,67,82],"class":[13],"all":[15],"sets":[16],"functions":[18],"from":[19],"\u03ba":[20,22],"to":[21],"that":[23,39,69],"are":[24,46,80],"definable":[25],"over":[26],"structure":[28,73],"\u2329H(\u03ba+),\u2208\u232a":[29],"by":[30,49,87,94],"a":[31,71],"\u03a31-formula":[32],"with":[33,55],"parameters.":[34],"It":[35],"is":[36],"well":[37],"known":[38],"many":[40],"important":[41],"statements":[42],"about":[43],"these":[44,76],"classes":[45],"not":[47],"decided":[48],"axioms":[51,79],"ZFC":[53,68],"together":[54],"large":[56],"axioms.":[58],"In":[59],"this":[60],"paper,":[61],"present":[63],"other":[64],"canonical":[65],"extensions":[66],"provide":[70],"strong":[72],"theory":[74],"for":[75],"classes.":[77],"These":[78],"variations":[81],"Maximality":[84],"Principle":[85],"introduced":[86],"Stavi":[88],"and":[89,91],"V\u00e4\u00e4n\u00e4nen":[90],"later":[92],"rediscovered":[93],"Hamkins.":[95]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}