{"id":"https://openalex.org/W2480078105","doi":"https://doi.org/10.1002/malq.201400034","title":"Pseudo definably connected definable sets","display_name":"Pseudo definably connected definable sets","publication_year":2016,"publication_date":"2016-04-01","ids":{"openalex":"https://openalex.org/W2480078105","doi":"https://doi.org/10.1002/malq.201400034","mag":"2480078105"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201400034","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201400034","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5058736215","display_name":"Jafar S. Eivazloo","orcid":null},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]},{"id":"https://openalex.org/I63970466","display_name":"Tabriz Islamic Arts University","ror":"https://ror.org/00kj4zk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I63970466"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Jafar S. Eivazloo","raw_affiliation_strings":["Department of Mathematics University of Tabriz 29 Bahman Bld, Tabriz 51666\u201014766 Islamic Republic of Iran","Department of Mathematics, University of Tabriz, 29 Bahman Bld, Tabriz 51666-14766, Islamic Republic of Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Tabriz 29 Bahman Bld, Tabriz 51666\u201014766 Islamic Republic of Iran","institution_ids":["https://openalex.org/I41832843","https://openalex.org/I63970466"]},{"raw_affiliation_string":"Department of Mathematics, University of Tabriz, 29 Bahman Bld, Tabriz 51666-14766, Islamic Republic of Iran","institution_ids":["https://openalex.org/I41832843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003394342","display_name":"Somayyeh Tari","orcid":"https://orcid.org/0000-0001-5569-2380"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]},{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]},{"id":"https://openalex.org/I63970466","display_name":"Tabriz Islamic Arts University","ror":"https://ror.org/00kj4zk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I63970466"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Somayyeh Tari","raw_affiliation_strings":["Department of Mathematics Azarbaijan Shahid Madani University Kilometer 35, Tabriz/Azarshahr Road, Tabriz 53714\u2010161 Islamic Republic of Iran","Department of Mathematics University of Tabriz 29 Bahman Bld, Tabriz 51666\u201014766 Islamic Republic of Iran","Department of Mathematics, Azarbaijan Shahid Madani University, Kilometer 35, Tabriz/Azarshahr Road, Tabriz 53714-161, Islamic Republic of Iran","Department of Mathematics, University of Tabriz, 29 Bahman Bld, Tabriz 51666-14766, Islamic Republic of Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Azarbaijan Shahid Madani University Kilometer 35, Tabriz/Azarshahr Road, Tabriz 53714\u2010161 Islamic Republic of Iran","institution_ids":["https://openalex.org/I51301133"]},{"raw_affiliation_string":"Department of Mathematics University of Tabriz 29 Bahman Bld, Tabriz 51666\u201014766 Islamic Republic of Iran","institution_ids":["https://openalex.org/I41832843","https://openalex.org/I63970466"]},{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Kilometer 35, Tabriz/Azarshahr Road, Tabriz 53714-161, Islamic Republic of Iran","institution_ids":["https://openalex.org/I51301133"]},{"raw_affiliation_string":"Department of Mathematics, University of Tabriz, 29 Bahman Bld, Tabriz 51666-14766, Islamic Republic of Iran","institution_ids":["https://openalex.org/I41832843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003394342","https://openalex.org/A5058736215"],"corresponding_institution_ids":["https://openalex.org/I41832843","https://openalex.org/I51301133","https://openalex.org/I63970466"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10396421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"3","first_page":"241","last_page":"248"},"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":0.9843999743461609,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9825999736785889,"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/social-connectedness","display_name":"Social connectedness","score":0.8799995183944702},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6998386979103088},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5853553414344788},{"id":"https://openalex.org/keywords/simply-connected-space","display_name":"Simply connected space","score":0.4471295177936554},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40514418482780457},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3552830219268799},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2591034770011902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2039678692817688}],"concepts":[{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.8799995183944702},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6998386979103088},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5853553414344788},{"id":"https://openalex.org/C167204820","wikidata":"https://www.wikidata.org/wiki/Q912058","display_name":"Simply connected space","level":2,"score":0.4471295177936554},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40514418482780457},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3552830219268799},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2591034770011902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2039678692817688},{"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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.201400034","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201400034","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1503694879","https://openalex.org/W1871045369","https://openalex.org/W2010757891","https://openalex.org/W2031773420","https://openalex.org/W2065758441","https://openalex.org/W2153758016","https://openalex.org/W4237551483"],"related_works":["https://openalex.org/W3125761283","https://openalex.org/W1976722080","https://openalex.org/W3152831473","https://openalex.org/W3092556108","https://openalex.org/W1995672666","https://openalex.org/W2154176501","https://openalex.org/W2190085401","https://openalex.org/W3044931971","https://openalex.org/W3008541637","https://openalex.org/W3121197002"],"abstract_inverted_index":{"In":[0,21],"o\u2010minimal":[1,33,104],"structures,":[2],"every":[3,9,42,55],"cell":[4,37,44],"is":[5,12,48],"definably":[6,18,27,50,68,79,85],"connected":[7,19,28,69,80],"and":[8,39],"definable":[10,29,56,81,91,97,100],"set":[11,57],"a":[13,62],"finite":[14,63],"union":[15,64],"of":[16,65,77,99],"its":[17,66],"components.":[20,70],"this":[22],"note,":[23],"we":[24,88],"introduce":[25],"pseudo":[26,49,67,78,84,90],"sets":[30,82,101],"in":[31,45,102],"weakly":[32,103],"structures":[34,47],"having":[35],"strong":[36,43],"decomposition,":[38],"prove":[40],"that":[41,54,74],"those":[46],"connected.":[51,86],"It":[52],"follows":[53],"can":[58],"be":[59],"written":[60],"as":[61],"We":[71],"also":[72],"show":[73],"the":[75],"projections":[76],"are":[83],"Finally,":[87],"compare":[89],"connectedness":[92,98],"with":[93],"(recently":[94],"introduced)":[95],"weak":[96],"structures.":[105]},"counts_by_year":[],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}