Some results on extension of maps and applications

Biasi, Carlos; Libardi, Alice K. M.; de Melo, Thiago; dos Santos, Edivaldo L.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Some results on extension of maps and applications

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Author(s):	Biasi, Carlos ^[1] ; Libardi, Alice K. M. ^[2] ; de Melo, Thiago ^[2] ; dos Santos, Edivaldo L. ^[3] Total Authors: 4
Affiliation:	^[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 Total Affiliations: 3
Document type:	Journal article
Source:	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. 149, n. 6, p. 1465-1472, DEC 2019.
Web of Science Citations:	0
Abstract
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)

FAPESP's process:	16/24707-4 - Algebraic, geometric and differential topology
Grantee:	Daciberg Lima Gonçalves
Support Opportunities:	Research Projects - Thematic Grants

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