Some results on extension of maps and applications

Autor(es)

Biasi, Carlos ^[1] ; Libardi, Alice K. M. ^[2] ; de Melo, Thiago ^[2] ; dos Santos, Edivaldo L. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, Campus Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil

^[2] Sao Paulo State Univ Unesp, Inst Geosci & Exact Sci, Dept Matemat, BR-13506700 Rio Claro, SP - Brazil

^[3] Univ Fed Sao Carlos, Dept Matemat, Rodovia Washington Luiz Km 235, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. 149, n. 6, p. 1465-1472, DEC 2019.
• Citações Web of Science: 0

Resumo

This paper concerns extension of maps using obstruction theory under a non-classical viewpoint. It is given a classification of homotopy classes of maps and as an application it is presented a simple proof of a theorem by Adachi about equivalence of vector bundles. Also it is proved that, under certain conditions, two embeddings are homotopic, up to surgery if and only if the respective normal bundles are SO-equivalent. (AU)

• Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático