{"id":"https://openalex.org/W4408334199","doi":"https://doi.org/10.1007/s10485-025-09804-4","title":"Sh(B)-Valued Models of $$(\\kappa ,\\kappa )$$-Coherent Categories","display_name":"Sh(B)-Valued Models of $$(\\kappa ,\\kappa )$$-Coherent Categories","publication_year":2025,"publication_date":"2025-03-11","ids":{"openalex":"https://openalex.org/W4408334199","doi":"https://doi.org/10.1007/s10485-025-09804-4"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-025-09804-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-025-09804-4","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/s10485-025-09804-4","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024788421","display_name":"Krist\u00f3f Kanalas","orcid":null},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Krist\u00f3f Kanalas","raw_affiliation_strings":["Department of Mathematics, Masaryk University, Kotl\u00e1\u0159sk\u00e1 2, 61137, Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Masaryk University, Kotl\u00e1\u0159sk\u00e1 2, 61137, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024788421"],"corresponding_institution_ids":["https://openalex.org/I21449261"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":{"value":3290,"currency":"USD","value_usd":3290},"fwci":1.4768,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82926884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"33","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.7530999779701233,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.7530999779701233,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kappa","display_name":"Kappa","score":0.9022048711776733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4630475342273712},{"id":"https://openalex.org/keywords/cohens-kappa","display_name":"Cohen's kappa","score":0.45797961950302124},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3228549063205719},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14660561084747314}],"concepts":[{"id":"https://openalex.org/C2778724333","wikidata":"https://www.wikidata.org/wiki/Q14401","display_name":"Kappa","level":2,"score":0.9022048711776733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4630475342273712},{"id":"https://openalex.org/C163864269","wikidata":"https://www.wikidata.org/wiki/Q1107106","display_name":"Cohen's kappa","level":2,"score":0.45797961950302124},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3228549063205719},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14660561084747314}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-025-09804-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-025-09804-4","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10485-025-09804-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-025-09804-4","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3980459769","display_name":"Enriched categories and their applications","funder_award_id":"GA22-02964S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320326548","display_name":"Masarykova Univerzita","ror":"https://ror.org/02j46qs45"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1595870841","https://openalex.org/W2043436876","https://openalex.org/W2073268673","https://openalex.org/W2322329889","https://openalex.org/W2964011735","https://openalex.org/W4206381645","https://openalex.org/W6812501176"],"related_works":["https://openalex.org/W1967594194","https://openalex.org/W1444168786","https://openalex.org/W2294084971","https://openalex.org/W2148964467","https://openalex.org/W2281321759","https://openalex.org/W2474048269","https://openalex.org/W2792864698","https://openalex.org/W1966976587","https://openalex.org/W2292870489","https://openalex.org/W4294214983"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"basic":[2],"technique":[3],"in":[4,25],"model":[5,14],"theory":[6],"is":[7,107,132],"to":[8,55,95,156],"name":[9],"the":[10,22,26,42,61],"elements":[11],"of":[12,28,49,159],"a":[13,46,88,93,116,157],"by":[15,82],"introducing":[16],"new":[17,89],"constant":[18],"symbols.":[19],"We":[20,110],"describe":[21],"analogous":[23],"construction":[24],"language":[27],"syntactic":[29,43],"categories/sites.":[30],"As":[31],"an":[32,153],"application":[33],"we":[34],"identify":[35],"$$\\textbf{Set}$$":[36],"Set":[37,143],"-valued":[38],"regular":[39,144],"functors":[40,145],"on":[41],"category":[44],"with":[45,92,149],"certain":[47],"class":[48],"topos-valued":[50],"models":[51],"(we":[52],"will":[53],"refer":[54],"them":[56],"as":[57],"\"Sh(B)-valued":[58],"models\").":[59],"For":[60],"coherent":[62,147,160],"fragment":[63],"$$L_{\\omega":[64],"\\omega":[65,69],"}^g":[66],"\\subseteq":[67],"L_{\\omega":[68],"}$$":[70],"L":[71,76,99,124],"\u03c9":[72,73,77,78],"g":[74,102,127],"\u2286":[75],"this":[79],"was":[80],"proved":[81],"Jacob":[83],"Lurie,":[84],"our":[85],"discussion":[86],"gives":[87],"proof,":[90],"together":[91],"generalization":[94],"$$L_{\\kappa":[96,121],"\\kappa":[97,122],"}^g$$":[98,123],"\u03ba":[100,101,106,125,126,131],"when":[103],"$$\\kappa":[104,129],"$$":[105,130,140],"weakly":[108,133],"compact.":[109],"present":[111],"some":[112],"further":[113],"applications:":[114],"first,":[115],"Sh(B)-valued":[117],"completeness":[118],"theorem":[119],"for":[120],"(":[128],"compact),":[134],"second,":[135],"that":[136],"$$\\mathcal":[137],"{C}\\rightarrow":[138],"\\textbf{Set}":[139],"C":[141],"\u2192":[142],"(on":[146],"categories":[148],"disjoint":[150],"coproducts)":[151],"admit":[152],"elementary":[154],"map":[155],"product":[158],"functors.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-03-12T00:00:00"}
