(H, G)-coincidence theorems for free G-spaces

Author(s)

Coelho, Francielle R. de C. ^[1] ; dos Santos, Edivaldo L. ^[2]

Affiliation

^[1] Univ Fed Uberlandia, Fac Matemat, BR-38408100 Uberlandia, MG - Brazil

^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Topology and its Applications; v. 206, p. 158-165, JUN 15 2016.
• Web of Science Citations: 0

Abstract

Let us consider G a group acting freely on a Hausdorff paracompact topological space X and let Y be a k-dimensional metrizable space (or k-dimensional CW-complex). In this paper, by using the genus of X, gen (X, G), we prove (H, G)-coincidence theorems for maps f : X -> Y. Such theorems generalize the main theorem proved by Aarts, Fokkink and Vermeer in {[}1] and the. main result proved by dos Santos and Coelho in {[}11]. (C) 2016 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
• FAPESP's process: 13/10353-8 - Separation theorems and properties of the general position in generalized manifolds
• Grantee: Edivaldo Lopes dos Santos
• Support Opportunities: Regular Research Grants