Algebraic & Geometric Topology

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

Denise de Mattos, Pedro Luiz Pergher, and Edivaldo dos Santos

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Let X be a space of type (a,b) equipped with a free G–action, with G=2 or S1. In this paper, we prove some theorems of Borsuk–Ulam-type and the corresponding parametrized versions for such G–spaces.

Article information

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

Received: 18 July 2012
Revised: 19 April 2013
Accepted: 21 April 2013
First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55M20: Fixed points and coincidences [See also 54H25]
Secondary: 55R91: Equivariant fiber spaces and bundles [See also 19L47] 55R25: Sphere bundles and vector bundles

Space of type $(a, b)$ parametrized Borsuk–Ulam theorem Leray–Serre spectral sequence Borel construction characteristic polynomial free action equivariant map


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.

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