## Algebraic & Geometric Topology

### Borsuk–Ulam theorems and their parametrized versions for spaces of type $(a,b)$

#### Abstract

Let $X$ be a space of type $(a,b)$ equipped with a free $G$–action, with $G=ℤ2$ or $S1$. In this paper, we prove some theorems of Borsuk–Ulam-type and the corresponding parametrized versions for such $G$–spaces.

#### Article information

Source
Algebr. Geom. Topol., Volume 13, Number 5 (2013), 2827-2843.

Dates
Revised: 19 April 2013
Accepted: 21 April 2013
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715692

Digital Object Identifier
doi:10.2140/agt.2013.13.2827

Mathematical Reviews number (MathSciNet)
MR3116305

Zentralblatt MATH identifier
1275.55002

#### Citation

de Mattos, Denise; Pergher, Pedro Luiz; dos Santos, Edivaldo. Borsuk–Ulam theorems and their parametrized versions for spaces of type $(a,b)$. Algebr. Geom. Topol. 13 (2013), no. 5, 2827--2843. doi:10.2140/agt.2013.13.2827. https://projecteuclid.org/euclid.agt/1513715692

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