{"id":"https://openalex.org/W1790204629","doi":"https://doi.org/10.1142/s021906131450010x","title":"An embedding theorem of \ud835\udd3c<sub>0</sub> with model theoretic applications","display_name":"An embedding theorem of \ud835\udd3c<sub>0</sub> with model theoretic applications","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W1790204629","doi":"https://doi.org/10.1142/s021906131450010x","mag":"1790204629"},"language":"en","primary_location":{"id":"doi:10.1142/s021906131450010x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021906131450010x","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":"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/A5086364920","display_name":"Itay Kaplan","orcid":"https://orcid.org/0000-0002-7032-1710"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Itay Kaplan","raw_affiliation_strings":["The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044348442","display_name":"Benjamin D. Miller","orcid":"https://orcid.org/0000-0002-7549-1866"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]},{"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":["AT","DE"],"is_corresponding":false,"raw_author_name":"Benjamin D. Miller","raw_affiliation_strings":["Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Fachbereich Mathematik und Informatik, Universit\u00e4t M\u00fcnster, Einsteinstrasse 62, 48149 M\u00fcnster, Germany","Kurt G\u00f6del Research Center for Mathematical Logic, Universit\u00e4t Wien, W\u00e4hringer Strasse 25, 1090 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematische Logik und Grundlagenforschung, Fachbereich Mathematik und Informatik, Universit\u00e4t M\u00fcnster, Einsteinstrasse 62, 48149 M\u00fcnster, Germany","institution_ids":["https://openalex.org/I22465464"]},{"raw_affiliation_string":"Kurt G\u00f6del Research Center for Mathematical Logic, Universit\u00e4t Wien, W\u00e4hringer Strasse 25, 1090 Wien, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8921,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69919849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"14","issue":"02","first_page":"1450010","last_page":"1450010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998999834060669,"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":0.9998999834060669,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.995199978351593,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9909999966621399,"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":0.8151020407676697},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.7666749954223633},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.711392343044281},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6268429756164551},{"id":"https://openalex.org/keywords/model-theory","display_name":"Model theory","score":0.5892028212547302},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5677196383476257},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46936753392219543},{"id":"https://openalex.org/keywords/borel-equivalence-relation","display_name":"Borel equivalence relation","score":0.45256996154785156},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34298813343048096},{"id":"https://openalex.org/keywords/borel-measure","display_name":"Borel measure","score":0.19159311056137085},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.1067984402179718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08321896195411682},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06273335218429565}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8151020407676697},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7666749954223633},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.711392343044281},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6268429756164551},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.5892028212547302},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5677196383476257},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46936753392219543},{"id":"https://openalex.org/C5278979","wikidata":"https://www.wikidata.org/wiki/Q4944905","display_name":"Borel equivalence relation","level":4,"score":0.45256996154785156},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34298813343048096},{"id":"https://openalex.org/C166758865","wikidata":"https://www.wikidata.org/wiki/Q892585","display_name":"Borel measure","level":3,"score":0.19159311056137085},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.1067984402179718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08321896195411682},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06273335218429565},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021906131450010x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021906131450010x","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.550000011920929}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W615860846","https://openalex.org/W1539382740","https://openalex.org/W1990678597","https://openalex.org/W1999410161","https://openalex.org/W2019185145","https://openalex.org/W2079152571","https://openalex.org/W2109047913","https://openalex.org/W3102648519"],"related_works":["https://openalex.org/W110058238","https://openalex.org/W4302132510","https://openalex.org/W1482552562","https://openalex.org/W1972195264","https://openalex.org/W2077516133","https://openalex.org/W2963349776","https://openalex.org/W2044528349","https://openalex.org/W1966794195","https://openalex.org/W4232829443","https://openalex.org/W4287063494"],"abstract_inverted_index":{"We":[0],"provide":[1],"a":[2],"new":[3],"criterion":[4],"for":[5],"embedding":[6],"\ud835\udd3c":[7],"0":[8],",":[9],"and":[10,26,38],"apply":[11],"it":[12],"to":[13],"equivalence":[14],"relations":[15],"in":[16],"model":[17],"theory.":[18],"This":[19],"generalize":[20],"the":[21,24,30],"results":[22,40],"of":[23,33],"authors":[25],"Pierre":[27],"Simon":[28],"on":[29],"Borel":[31],"cardinality":[32],"Lascar":[34],"strong":[35],"types":[36],"equality,":[37],"Newelski's":[39],"about":[41],"pseudo":[42],"F":[43],"\u03c3":[44],"groups.":[45]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
