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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.)

Inverse mapping theorem and local forms of continuous mappings

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Author(s):
Barreto, A. P. [1] ; Fenille, M. C. [2] ; Hartmann, L. [1]
Total Authors: 3
Affiliation:
[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Fed Uberlandia, Fac Matemat, BR-38408100 Uberlandia, MG - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Topology and its Applications; v. 197, p. 10-20, JAN 1 2016.
Web of Science Citations: 0
Abstract

We present a homological version of the Inverse Mapping Theorem for open and discrete continuous maps between oriented topological manifolds, with assumptions on the degree of the maps, but without any assumption on differentiability. We prove that this theorem is equivalent to the known homological version of the Implicit Mapping Theorem. Additionally, we study conditions for a map between oriented topological manifolds to be locally like an injection or a projection, via alternative notions of topological immersions and submersions. (C) 2015 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 12/24454-8 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants