{"id":"https://openalex.org/W3014476379","doi":"https://doi.org/10.1007/s10485-022-09691-z","title":"2-Limits and 2-Terminal Objects are too Different","display_name":"2-Limits and 2-Terminal Objects are too Different","publication_year":2022,"publication_date":"2022-09-08","ids":{"openalex":"https://openalex.org/W3014476379","doi":"https://doi.org/10.1007/s10485-022-09691-z","mag":"3014476379"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-022-09691-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-022-09691-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-022-09691-z.pdf","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://link.springer.com/content/pdf/10.1007/s10485-022-09691-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056857462","display_name":"Tslil Clingman","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"tslil clingman","raw_affiliation_strings":["Johns Hopkins University, 3400 N. Charles St., Baltimore, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johns Hopkins University, 3400 N. Charles St., Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002922824","display_name":"Lyne Moser","orcid":"https://orcid.org/0000-0001-8296-6594"},"institutions":[{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lyne Moser","raw_affiliation_strings":["Max Planck Institute for Mathematics, Vivatsgasse 7, 53111, Bonn, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8296-6594","affiliations":[{"raw_affiliation_string":"Max Planck Institute for Mathematics, Vivatsgasse 7, 53111, Bonn, Germany","institution_ids":["https://openalex.org/I4210119712"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002922824"],"corresponding_institution_ids":["https://openalex.org/I4210119712"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":1.1728,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.6980285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"6","first_page":"1283","last_page":"1304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9940999746322632,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9940999746322632,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9758999943733215,"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"}},{"id":"https://openalex.org/T10420","display_name":"Intracranial Aneurysms: Treatment and Complications","score":0.9096999764442444,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.8230166435241699},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.7450987100601196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6505966782569885},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.554741382598877},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4727172255516052},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4495733976364136},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4212014079093933},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.41088277101516724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3294357657432556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23860129714012146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19934362173080444},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18861865997314453},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11808639764785767}],"concepts":[{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.8230166435241699},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.7450987100601196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6505966782569885},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.554741382598877},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4727172255516052},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4495733976364136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4212014079093933},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.41088277101516724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3294357657432556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23860129714012146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19934362173080444},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18861865997314453},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11808639764785767},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-022-09691-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-022-09691-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-022-09691-z.pdf","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/s10485-022-09691-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-022-09691-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-022-09691-z.pdf","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G202495085","display_name":null,"funder_award_id":"1440140","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G2145954466","display_name":null,"funder_award_id":"DMS-1652600","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5969482202","display_name":null,"funder_award_id":"DMS-1440140","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G7581255815","display_name":"CAREER:   Model-Independent Foundations for Higher Infinity-Categories","funder_award_id":"1652600","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G811546825","display_name":null,"funder_award_id":"1440140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3014476379.pdf","grobid_xml":"https://content.openalex.org/works/W3014476379.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1908473049","https://openalex.org/W1981049756","https://openalex.org/W1988982133","https://openalex.org/W2119334241","https://openalex.org/W2277836006","https://openalex.org/W2344528088","https://openalex.org/W2502957253","https://openalex.org/W2578950276","https://openalex.org/W3085735771","https://openalex.org/W4243241156"],"related_works":["https://openalex.org/W4386799044","https://openalex.org/W2773208253","https://openalex.org/W2560646951","https://openalex.org/W3211557223","https://openalex.org/W4297454206","https://openalex.org/W65104662","https://openalex.org/W1871748041","https://openalex.org/W2362286668","https://openalex.org/W2133382151","https://openalex.org/W2000402520"],"abstract_inverted_index":{"Abstract":[0],"In":[1,20],"ordinary":[2],"category":[3,17],"theory,":[4],"limits":[5,65],"are":[6,46],"known":[7],"to":[8,11,57],"be":[9],"equivalent":[10],"terminal":[12],"objects":[13,36],"in":[14,37],"the":[15,26,38,55],"slice":[16,42],"of":[18,29,41,44],"cones.":[19],"this":[21,30],"paper,":[22],"we":[23,49],"prove":[24],"that":[25],"2-categorical":[27],"analogues":[28],"theorem":[31],"relating":[32],"2-limits":[33],"and":[34,66],"2-terminal":[35],"various":[39],"choices":[40],"2-categories":[43],"2-cones":[45,56],"false.":[47],"Furthermore":[48],"show":[50],"that,":[51],"even":[52],"when":[53],"weakening":[54],"pseudo-":[58],"or":[59,62],"lax-natural":[60],"transformations,":[61],"considering":[63],"bi-type":[64],"bi-terminal":[67],"objects,":[68],"there":[69],"is":[70],"still":[71],"no":[72],"such":[73],"correspondence.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}