{"id":"https://openalex.org/W1968389833","doi":"https://doi.org/10.1155/2013/430105","title":"A Bordism Viewpoint of Fiberwise Intersections","display_name":"A Bordism Viewpoint of Fiberwise Intersections","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1968389833","doi":"https://doi.org/10.1155/2013/430105","mag":"1968389833"},"language":"en","primary_location":{"id":"doi:10.1155/2013/430105","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/430105","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/430105.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2013/430105.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065779591","display_name":"Gun Sunyeekhan","orcid":"https://orcid.org/0000-0003-4178-6655"},"institutions":[{"id":"https://openalex.org/I198105771","display_name":"Kasetsart University","ror":"https://ror.org/05gzceg21","country_code":"TH","type":"education","lineage":["https://openalex.org/I198105771"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Gun Sunyeekhan","raw_affiliation_strings":["50 Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand"],"affiliations":[{"raw_affiliation_string":"50 Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand","institution_ids":["https://openalex.org/I198105771"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065779591"],"corresponding_institution_ids":["https://openalex.org/I198105771"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.05637148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9944999814033508,"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/T12504","display_name":"Mathematics and Applications","score":0.9944999814033508,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9783999919891357,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9282000064849854,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9509658813476562},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.8019636869430542},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6424344182014465},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6330543160438538},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5643522143363953},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5144281983375549},{"id":"https://openalex.org/keywords/intersection-theory","display_name":"Intersection theory","score":0.4604644477367401},{"id":"https://openalex.org/keywords/complete-intersection","display_name":"Complete intersection","score":0.4459790885448456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2877797484397888},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15367165207862854}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9509658813476562},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.8019636869430542},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6424344182014465},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6330543160438538},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5643522143363953},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5144281983375549},{"id":"https://openalex.org/C77462122","wikidata":"https://www.wikidata.org/wiki/Q15176852","display_name":"Intersection theory","level":5,"score":0.4604644477367401},{"id":"https://openalex.org/C37253","wikidata":"https://www.wikidata.org/wiki/Q5156502","display_name":"Complete intersection","level":2,"score":0.4459790885448456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2877797484397888},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15367165207862854},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.0},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2013/430105","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/430105","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/430105.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:430105","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2013/430105.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:d9b0b485db5242bbbb953c9777d74398","is_oa":true,"landing_page_url":"https://doaj.org/article/d9b0b485db5242bbbb953c9777d74398","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/430105","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/430105","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2013/430105.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322437","display_name":"National Science and Technology Development Agency","ror":"https://ror.org/04vy95b61"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1968389833.pdf","grobid_xml":"https://content.openalex.org/works/W1968389833.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W192834492","https://openalex.org/W1987723524","https://openalex.org/W2084893209"],"related_works":["https://openalex.org/W4387725540","https://openalex.org/W2995727719","https://openalex.org/W4287991114","https://openalex.org/W1532572863","https://openalex.org/W1513576810","https://openalex.org/W4390512259","https://openalex.org/W4367694190","https://openalex.org/W4322616263","https://openalex.org/W2017788301","https://openalex.org/W4381827779"],"abstract_inverted_index":{"We":[0],"use":[1],"the":[2,11,25,30],"geometric":[3],"data":[4],"to":[5],"define":[6],"a":[7],"bordism":[8],"invariant":[9,20],"for":[10,24],"fiberwise":[12,33],"intersection":[13],"theory.":[14,26],"Under":[15],"some":[16],"certain":[17],"conditions,":[18],"this":[19],"is":[21],"an":[22],"obstruction":[23],"Moreover,":[27],"we":[28],"prove":[29],"converse":[31],"of":[32],"Lefschetz":[34],"fixed":[35],"point":[36],"theorem.":[37]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}