Intersection properties for coverings of G-spaces

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Intersection properties for coverings of G-spaces

Journal Article (2002)

Author(s)

JM Aarts (TU Delft - Electrical Engineering, Mathematics and Computer Science)

GA Brouwer (External organisation)

RJ Fokkink (TU Delft - Electrical Engineering, Mathematics and Computer Science)

J Vermeer (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group

Analysis

Techniek ZX CWTS JFIS < 1.00 Wiskunde en Informatica Technische Wiskunde en Informatica

DOI related publication

https://doi.org/10.1016/S0166-8641(01)00276-0 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:c034ccd2-acb1-408b-b341-aae017aea785

More Info

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Publication Year

2002

Research Group

Analysis

Bibliographical Note

punten naar I-ams-05, zie e-mail dd 04/02/03

Journal title

Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology

Issue number

2

Volume number

125

Pages (from-to)

249-261

Page Views

122

Abstract

The Ljusternik–Schnirelmann–Borsuk theorem for antipodal maps on the sphere can be stated as an intersection property of coverings of the sphere. We generalized this theorem to free finite-group actions on paracompact Hausdorff spaces and discuss how this result might be improved. We illustrate our results by a free action of the Klein four-group on the torus.