{"id":"https://openalex.org/W2910966666","doi":"https://doi.org/10.1142/s0219061320500087","title":"Definable V-topologies, Henselianity and NIP","display_name":"Definable V-topologies, Henselianity and NIP","publication_year":2019,"publication_date":"2019-09-25","ids":{"openalex":"https://openalex.org/W2910966666","doi":"https://doi.org/10.1142/s0219061320500087","mag":"2910966666"},"language":"en","primary_location":{"id":"doi:10.1142/s0219061320500087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061320500087","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1901.05920","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025263274","display_name":"Yatir Halevi","orcid":"https://orcid.org/0000-0001-8423-7504"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Yatir Halevi","raw_affiliation_strings":["Department of Mathematics, Ben Gurion University of the Negev, Be\u2019er Sehva, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ben Gurion University of the Negev, Be\u2019er Sehva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025237890","display_name":"Assaf Hasson","orcid":"https://orcid.org/0000-0002-4363-1211"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Assaf Hasson","raw_affiliation_strings":["Department of Mathematics, Ben Gurion University of the Negev, Be\u2019er Sehva, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ben Gurion University of the Negev, Be\u2019er Sehva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030888095","display_name":"Franziska Jahnke","orcid":"https://orcid.org/0000-0001-8922-6169"},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Franziska Jahnke","raw_affiliation_strings":["Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Einsteinstr 62, 48149 M\u00fcnster, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Westf\u00e4lische Wilhelms-Universit\u00e4t M\u00fcnster, Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Einsteinstr 62, 48149 M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025263274"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":2.6594,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89250157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"02","first_page":"2050008","last_page":"2050008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994000196456909,"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":0.9994000196456909,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9886999726295471,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/nip","display_name":"NIP","score":0.8786569833755493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8612672090530396},{"id":"https://openalex.org/keywords/residue-field","display_name":"Residue field","score":0.7895978689193726},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7746614217758179},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5911865234375},{"id":"https://openalex.org/keywords/algebraic-closure","display_name":"Algebraic closure","score":0.5318436622619629},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4444781243801117},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41511070728302},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33527541160583496},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10016429424285889},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06272494792938232}],"concepts":[{"id":"https://openalex.org/C182420344","wikidata":"https://www.wikidata.org/wiki/Q17144130","display_name":"NIP","level":2,"score":0.8786569833755493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8612672090530396},{"id":"https://openalex.org/C2781025942","wikidata":"https://www.wikidata.org/wiki/Q7315530","display_name":"Residue field","level":3,"score":0.7895978689193726},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7746614217758179},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5911865234375},{"id":"https://openalex.org/C182327082","wikidata":"https://www.wikidata.org/wiki/Q428290","display_name":"Algebraic closure","level":5,"score":0.5318436622619629},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4444781243801117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41511070728302},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33527541160583496},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10016429424285889},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06272494792938232},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"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/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0219061320500087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061320500087","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1901.05920","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.05920","pdf_url":"https://arxiv.org/pdf/1901.05920","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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"},{"id":"mag:2910966666","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1901.05920.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1901.05920","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1901.05920","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1901.05920","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1901.05920","pdf_url":"https://arxiv.org/pdf/1901.05920","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1177974802","display_name":null,"funder_award_id":"EXC 2044-390685587","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1652504919","display_name":null,"funder_award_id":"EXC 2044","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1795377303","display_name":null,"funder_award_id":"338821","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G1986779244","display_name":null,"funder_award_id":"1382/15","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2110285270","display_name":null,"funder_award_id":"2044-390685587","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G2817606592","display_name":null,"funder_award_id":"390685587","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4174025694","display_name":null,"funder_award_id":"CRC 878","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5531830932","display_name":null,"funder_award_id":"181/16","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2910966666.pdf","grobid_xml":"https://content.openalex.org/works/W2910966666.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1425259","https://openalex.org/W615860846","https://openalex.org/W619339145","https://openalex.org/W1485050916","https://openalex.org/W1578973799","https://openalex.org/W1871045369","https://openalex.org/W1993703767","https://openalex.org/W2028101264","https://openalex.org/W2062415047","https://openalex.org/W2081511260","https://openalex.org/W2081719649","https://openalex.org/W2106177549","https://openalex.org/W2138440159","https://openalex.org/W2313523744","https://openalex.org/W2384575458","https://openalex.org/W2494700219","https://openalex.org/W2500166908","https://openalex.org/W2510729508","https://openalex.org/W2527661395","https://openalex.org/W2550342065","https://openalex.org/W2572909063","https://openalex.org/W2801572062","https://openalex.org/W2803538839","https://openalex.org/W2891111620","https://openalex.org/W2902665928","https://openalex.org/W2963267314","https://openalex.org/W2963375421","https://openalex.org/W3126002807","https://openalex.org/W3162566251","https://openalex.org/W4247409652"],"related_works":["https://openalex.org/W3209448881","https://openalex.org/W2025798178","https://openalex.org/W2124542286","https://openalex.org/W2945985055","https://openalex.org/W3117411575","https://openalex.org/W2005006668","https://openalex.org/W2952075418","https://openalex.org/W3034640706","https://openalex.org/W2321878871","https://openalex.org/W2055445942","https://openalex.org/W2980918788","https://openalex.org/W2243243151","https://openalex.org/W3104415461","https://openalex.org/W2035160890","https://openalex.org/W2953134397","https://openalex.org/W2021011913","https://openalex.org/W2013506183","https://openalex.org/W2949733702","https://openalex.org/W1975091179","https://openalex.org/W2016066247"],"abstract_inverted_index":{"We":[0,95],"initiate":[1],"the":[2,71,78,105,114],"study":[3],"of":[4,117],"definable":[5],"[Formula:":[6,18,23,33,42,47,51,55,122],"see":[7,19,24,34,43,48,52,56,123],"text]-topologies":[8],"and":[9,54],"show":[10,30],"that":[11,31,99,107],"there":[12],"is":[13,36,81,102,121],"at":[14],"most":[15],"one":[16],"such":[17],"text]-topology":[20],"on":[21],"a":[22,37,63,87,91,118],"text]-henselian":[25],"NIP":[26,39,68,75,109],"field.":[27,94],"Equivalently,":[28],"we":[29],"if":[32],"text]":[35,44,53,57],"bi-valued":[38],"field":[40,85,110,120],"with":[41,90],"henselian":[45,88],"(respectively,":[46,60],"text]-henselian),":[49],"then":[50],"are":[58],"comparable":[59],"dependent).":[61],"As":[62],"consequence,":[64],"Shelah\u2019s":[65,100],"conjecture":[66,73,80,101],"for":[67,74,83],"fields":[69],"implies":[70],"henselianity":[72],"fields.":[76],"Furthermore,":[77],"latter":[79],"proved":[82],"any":[84,108],"admitting":[86],"valuation":[89],"dp-minimal":[92],"residue":[93],"conclude":[96],"by":[97],"showing":[98],"equivalent":[103],"to":[104],"statement":[106],"not":[111],"contained":[112],"in":[113],"algebraic":[115],"closure":[116],"finite":[119],"text]-henselian.":[124]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2025-10-10T00:00:00"}
