{"id":"https://openalex.org/W2946444029","doi":"https://doi.org/10.1007/s10998-020-00327-0","title":"Stable Pontryagin\u2013Thom construction for proper maps","display_name":"Stable Pontryagin\u2013Thom construction for proper maps","publication_year":2020,"publication_date":"2020-04-01","ids":{"openalex":"https://openalex.org/W2946444029","doi":"https://doi.org/10.1007/s10998-020-00327-0","mag":"2946444029"},"language":"lv","primary_location":{"id":"doi:10.1007/s10998-020-00327-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-020-00327-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10998-020-00327-0.pdf","source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10998-020-00327-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070724788","display_name":"Andr\u00e1s Cs\u00e9pai","orcid":null},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Andr\u00e1s Cs\u00e9pai","raw_affiliation_strings":["E\u00f6tv\u00f6s Lor\u00e1nd University (ELTE), P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/C, Budapest, 1117, Hungary","E\u00f6tv\u00f6s Lorand University ELTE,Budapest,Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s Lor\u00e1nd University (ELTE), P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/C, Budapest, 1117, Hungary","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"E\u00f6tv\u00f6s Lorand University ELTE,Budapest,Hungary","institution_ids":["https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070724788"],"corresponding_institution_ids":["https://openalex.org/I106118109"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04829545,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"2","first_page":"259","last_page":"268"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.982699990272522,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.8896756172180176},{"id":"https://openalex.org/keywords/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.7760080695152283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.750064492225647},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6479207277297974},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5905723571777344},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5630624294281006},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5172841548919678},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48136430978775024},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.46898728609085083},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4324502646923065},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3256675601005554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15349945425987244},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.08366808295249939}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8896756172180176},{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.7760080695152283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.750064492225647},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6479207277297974},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5905723571777344},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5630624294281006},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5172841548919678},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48136430978775024},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.46898728609085083},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4324502646923065},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3256675601005554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15349945425987244},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.08366808295249939},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10998-020-00327-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-020-00327-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10998-020-00327-0.pdf","source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:157870","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:arXiv.org:1905.07734","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.07734","pdf_url":"https://arxiv.org/pdf/1905.07734","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":"","raw_type":"text"},{"id":"mag:2946444029","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2008.11781","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":"pmh:oai:edit.elte.hu:10831/49150","is_oa":true,"landing_page_url":"http://hdl.handle.net/10831/49150","pdf_url":null,"source":{"id":"https://openalex.org/S4306400126","display_name":"ELTE Digital Institutional Repository (EDIT) (E\u00f6tv\u00f6s Lor\u00e1nd University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I106118109","host_organization_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","host_organization_lineage":["https://openalex.org/I106118109"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1905.07734","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1905.07734","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":"doi:10.1007/s10998-020-00327-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10998-020-00327-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10998-020-00327-0.pdf","source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326124","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd Tudom\u00e1nyegyetem","ror":"https://ror.org/01jsq2704"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2946444029.pdf","grobid_xml":"https://content.openalex.org/works/W2946444029.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2033156648","https://openalex.org/W2054952797","https://openalex.org/W2970498961"],"related_works":["https://openalex.org/W3207838888","https://openalex.org/W2951954605","https://openalex.org/W2339998653","https://openalex.org/W1675536887","https://openalex.org/W1537241532","https://openalex.org/W2962965220","https://openalex.org/W2009680395","https://openalex.org/W1968724137","https://openalex.org/W2952494491","https://openalex.org/W2021058801","https://openalex.org/W2951570592","https://openalex.org/W1996744189","https://openalex.org/W2951226916","https://openalex.org/W2142850903","https://openalex.org/W2081866058","https://openalex.org/W2008005032","https://openalex.org/W2149055300","https://openalex.org/W2100449369","https://openalex.org/W3153706542","https://openalex.org/W3109012506"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"will":[2],"present":[3],"proofs":[4],"for":[5,28,71],"two":[6],"conjectures":[7],"stated":[8],"in":[9,61],"Rot":[10],"(Homotopy":[11],"classes":[12,36],"of":[13,17,37],"proper":[14,38,72],"maps":[15,39,73],"out":[16],"vector":[18],"bundles,":[19],"2020.":[20],"arXiv:1808.08073":[21],").":[22],"The":[23,82],"first":[24,88],"one":[25,58,84,89,96],"is":[26,59,66],"that":[27,60],"an":[29,99],"arbitrary":[30],"manifold":[31],"W":[32],",":[33,54],"the":[34,56,87,94],"homotopy":[35],"$$W\\times":[40,74],"\\mathbb":[41,43,75,77],"{R}^n\\rightarrow":[42,76],"{R}^{k+n}$$":[44,78],"<mml:math":[45,52,79],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>W</mml:mi><mml:mo>\u00d7</mml:mo><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msup><mml:mo>\u2192</mml:mo><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>":[46,80],"stabilise":[47],"as":[48],"$$n\\rightarrow":[49],"\\infty":[50],"$$":[51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>n</mml:mi><mml:mo>\u2192</mml:mo><mml:mi>\u221e</mml:mi></mml:mrow></mml:math>":[53],"and":[55,90],"second":[57,83,95],"a":[62,67],"stable":[63],"range":[64],"there":[65],"Pontryagin\u2013Thom":[68],"type":[69],"bijection":[70],".":[81],"actually":[85],"implies":[86],"we":[91],"shall":[92],"prove":[93],"by":[97],"giving":[98],"explicit":[100],"construction.":[101]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
