{"id":"https://openalex.org/W3084420059","doi":"https://doi.org/10.1007/s10485-020-09617-7","title":"Vector Bundles and Differential Bundles in the Category of Smooth Manifolds","display_name":"Vector Bundles and Differential Bundles in the Category of Smooth Manifolds","publication_year":2021,"publication_date":"2021-01-02","ids":{"openalex":"https://openalex.org/W3084420059","doi":"https://doi.org/10.1007/s10485-020-09617-7","mag":"3084420059"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-020-09617-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-020-09617-7","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.11708","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067099930","display_name":"Benjamin MacAdam","orcid":"https://orcid.org/0000-0002-4977-7289"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Benjamin MacAdam","raw_affiliation_strings":["University of Calgary, 2500 University Dr NW, Calgary, AB, T2N 1N4, Canada","University of Calgary, Calgary, Canada#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-4977-7289","affiliations":[{"raw_affiliation_string":"University of Calgary, 2500 University Dr NW, Calgary, AB, T2N 1N4, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary, Calgary, Canada#TAB#","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067099930"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.456,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5231776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"29","issue":"2","first_page":"285","last_page":"310"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9918000102043152,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9782999753952026,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vector-bundle","display_name":"Vector bundle","score":0.8030988574028015},{"id":"https://openalex.org/keywords/tangent-bundle","display_name":"Tangent bundle","score":0.7605586051940918},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7325960993766785},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.6053352355957031},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5554510354995728},{"id":"https://openalex.org/keywords/tangent-vector","display_name":"Tangent vector","score":0.5399451851844788},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5117497444152832},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.500922679901123},{"id":"https://openalex.org/keywords/tangent-cone","display_name":"Tangent cone","score":0.4917338192462921},{"id":"https://openalex.org/keywords/vector-valued-differential-form","display_name":"Vector-valued differential form","score":0.44329845905303955},{"id":"https://openalex.org/keywords/normal-bundle","display_name":"Normal bundle","score":0.4129369854927063},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3499932289123535},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.2884299159049988},{"id":"https://openalex.org/keywords/frame-bundle","display_name":"Frame bundle","score":0.2628229856491089},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15318545699119568},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0710517168045044}],"concepts":[{"id":"https://openalex.org/C95857938","wikidata":"https://www.wikidata.org/wiki/Q658429","display_name":"Vector bundle","level":2,"score":0.8030988574028015},{"id":"https://openalex.org/C28903235","wikidata":"https://www.wikidata.org/wiki/Q746550","display_name":"Tangent bundle","level":3,"score":0.7605586051940918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7325960993766785},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6053352355957031},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5554510354995728},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.5399451851844788},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5117497444152832},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.500922679901123},{"id":"https://openalex.org/C149944404","wikidata":"https://www.wikidata.org/wiki/Q2392464","display_name":"Tangent cone","level":3,"score":0.4917338192462921},{"id":"https://openalex.org/C44234333","wikidata":"https://www.wikidata.org/wiki/Q7917791","display_name":"Vector-valued differential form","level":5,"score":0.44329845905303955},{"id":"https://openalex.org/C66384103","wikidata":"https://www.wikidata.org/wiki/Q2370925","display_name":"Normal bundle","level":3,"score":0.4129369854927063},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3499932289123535},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.2884299159049988},{"id":"https://openalex.org/C191961195","wikidata":"https://www.wikidata.org/wiki/Q5477902","display_name":"Frame bundle","level":4,"score":0.2628229856491089},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15318545699119568},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0710517168045044},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10485-020-09617-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-020-09617-7","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2007.11708","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.11708","pdf_url":"https://arxiv.org/pdf/2007.11708","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":"mag:3084420059","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2007.11708","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2007.11708","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2007.11708","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.11708","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.11708","pdf_url":"https://arxiv.org/pdf/2007.11708","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"},"sustainable_development_goals":[{"score":0.5,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W96510944","https://openalex.org/W1508953807","https://openalex.org/W1521337395","https://openalex.org/W1550540866","https://openalex.org/W1575354303","https://openalex.org/W1589741152","https://openalex.org/W1977875716","https://openalex.org/W1988612426","https://openalex.org/W2004784025","https://openalex.org/W2016274488","https://openalex.org/W2045964959","https://openalex.org/W2108070223","https://openalex.org/W2472345234","https://openalex.org/W2528926815","https://openalex.org/W2542795758","https://openalex.org/W2999060662","https://openalex.org/W4206033904","https://openalex.org/W4242448156","https://openalex.org/W4251062423"],"related_works":["https://openalex.org/W2472345234","https://openalex.org/W3104071919","https://openalex.org/W2962986245","https://openalex.org/W2963203678","https://openalex.org/W73400994","https://openalex.org/W2265446201","https://openalex.org/W1988473548","https://openalex.org/W2952007985","https://openalex.org/W3109492745","https://openalex.org/W1946379488","https://openalex.org/W1948879969","https://openalex.org/W2126803586","https://openalex.org/W633867962","https://openalex.org/W2951029489","https://openalex.org/W1610959570","https://openalex.org/W2781060474","https://openalex.org/W586287544","https://openalex.org/W1970935301","https://openalex.org/W2962803960","https://openalex.org/W2006073979"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
