Borsuk-Ulam theorems and their parametrized versions for spaces of type. (a , b)

Author(s)

de Mattos, Denise ^[1] ; Pergher, Pedro Luiz Q. ^[2] ; dos Santos, Edivaldo L. ^[2]

Affiliation

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

^[2] Univ Fed Sao Carlos, Dept Matemat, Ctr Ciencias Exatas & Tecnol, BR-13565905 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Algebraic and Geometric Topology; v. 13, n. 5, p. 2827-2843, 2013.
• Web of Science Citations: 9

Abstract

Let X be a space of type. (a, b) equipped with a free G-action, with G = Z (2) or S-1. In this paper, we prove some theorems of Borsuk-Ulam-type and the corresponding parametrized versions for such G-spaces. (AU)

• FAPESP's process: 11/18761-2 - An estimate of the dimension of counter-image of $Z_{p^k}$- equivariant mapping between spheres of representations
• Grantee: Edivaldo Lopes dos Santos
• Support Opportunities: Scholarships abroad - Research
• FAPESP's process: 11/18758-1 - Equivariant mini-max theories, ring-valued genus, and the Borsuk-Ulam theorems
• Grantee: Denise de Mattos
• Support Opportunities: Scholarships abroad - Research