{"id":"https://openalex.org/W2519197805","doi":"https://doi.org/10.2168/lmcs-12(4:3)2016","title":"Some theorems on passing from local to global presence of properties of functions","display_name":"Some theorems on passing from local to global presence of properties of functions","publication_year":2017,"publication_date":"2017-04-27","ids":{"openalex":"https://openalex.org/W2519197805","doi":"https://doi.org/10.2168/lmcs-12(4:3)2016","mag":"2519197805"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-12(4:3)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:3)2016","pdf_url":"https://lmcs.episciences.org/2169/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/2169/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077311090","display_name":"Dimiter Skordev","orcid":"https://orcid.org/0000-0002-5718-3640"},"institutions":[{"id":"https://openalex.org/I58918642","display_name":"Sofia University \"St. Kliment Ohridski\"","ror":"https://ror.org/02jv3k292","country_code":"BG","type":"education","lineage":["https://openalex.org/I58918642"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Dimiter Skordev","raw_affiliation_strings":["Sofia University, Faculty of Mathematics and Informatics, Sofia, Bulgaria"],"raw_orcid":"https://orcid.org/0000-0002-5718-3640","affiliations":[{"raw_affiliation_string":"Sofia University, Faculty of Mathematics and Informatics, Sofia, Bulgaria","institution_ids":["https://openalex.org/I58918642"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077311090"],"corresponding_institution_ids":["https://openalex.org/I58918642"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.01834826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Volume 12, Issue 4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9743000268936157,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9617000222206116,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.686001181602478},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6791373491287231},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.6284438967704773},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.5514154434204102},{"id":"https://openalex.org/keywords/computability","display_name":"Computability","score":0.5426429510116577},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5063265562057495},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49598440527915955},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.47350412607192993},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.468935489654541},{"id":"https://openalex.org/keywords/partial-function","display_name":"Partial function","score":0.46857237815856934},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32602328062057495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26392537355422974},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2246665358543396}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.686001181602478},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6791373491287231},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.6284438967704773},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.5514154434204102},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.5426429510116577},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5063265562057495},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49598440527915955},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.47350412607192993},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.468935489654541},{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.46857237815856934},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32602328062057495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26392537355422974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2246665358543396},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2168/lmcs-12(4:3)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:3)2016","pdf_url":"https://lmcs.episciences.org/2169/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1609.04254","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1609.04254","pdf_url":"https://arxiv.org/pdf/1609.04254","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":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:bb8b0d24a4e14817a33c101846d57aea","is_oa":true,"landing_page_url":"https://doaj.org/article/bb8b0d24a4e14817a33c101846d57aea","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 12, Issue 4 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-12(4:3)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:3)2016","pdf_url":"https://lmcs.episciences.org/2169/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2519197805.pdf","grobid_xml":"https://content.openalex.org/works/W2519197805.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1509579779","https://openalex.org/W2104411855","https://openalex.org/W2158014467","https://openalex.org/W2905135108"],"related_works":["https://openalex.org/W4205996836","https://openalex.org/W2151692181","https://openalex.org/W4392498349","https://openalex.org/W2093960938","https://openalex.org/W3214148052","https://openalex.org/W4392216655","https://openalex.org/W4245395944","https://openalex.org/W2807741550","https://openalex.org/W2134943109","https://openalex.org/W2071530339"],"abstract_inverted_index":{"When":[0],"given":[1,37,65,107,159],"a":[2,7,27,142,179,191],"class":[3,18,66,116,150],"of":[4,10,29,32,35,44,69,91,118,124,131,133,135,152,166,168,171,190,196,204],"functions":[5,123,156],"and":[6,39,98,127,162],"finite":[8],"collection":[9,38,72,129,164],"sets,":[11],"one":[12,206],"might":[13],"be":[14,59],"interested":[15],"whether":[16],"the":[17,30,33,36,53,64,76,81,92,109,115,119,128,146,149,153,163,169,183,202,205],"in":[19,75,201,207],"question":[20],"contains":[21],"any":[22],"function":[23],"whose":[24,40],"domain":[25],"is":[26,73,106,175,189],"subset":[28,84],"union":[31],"sets":[34,132],"restrictions":[41],"to":[42,47,58],"all":[43],"them":[45,172],"belong":[46],"this":[48],"class.":[49],"The":[50,138,186],"collections":[51],"with":[52],"formulated":[54],"property":[55],"are":[56,94],"said":[57],"strongly":[60,103],"join":[61,70,104],"permitting":[62,71,105],"for":[63,101,108,112,145],"(the":[67,173],"notion":[68],"defined":[74],"same":[77],"way,":[78],"but":[79],"without":[80],"words":[82],"\"a":[83],"of\").":[85],"Three":[86],"theorems":[87],"concerning":[88],"certain":[89],"instances":[90],"problem":[93],"proved.":[95],"A":[96],"necessary":[97,177],"sufficient":[99,143],"condition":[100,144,174],"being":[102],"case":[110,147],"when,":[111],"some":[113],"$n$,":[114],"consists":[117,130,151,165],"potentially":[120],"partial":[121,155],"recursive":[122],"$n$":[125],"variables,":[126],"$n$-tuples":[134],"natural":[136],"numbers.":[137],"second":[139,184],"theorem":[140,188],"gives":[141],"when":[148],"continuous":[154],"between":[157],"two":[158],"topological":[160,209],"spaces,":[161],"subsets":[167],"first":[170],"also":[176],"under":[178],"weak":[180],"assumption":[181],"on":[182],"one).":[185],"third":[187],"similar":[192],"character":[193],"but,":[194],"instead":[195],"continuity,":[197],"it":[198],"concerns":[199],"computability":[200],"spirit":[203],"effective":[208],"spaces.":[210]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-09-23T00:00:00"}