GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS

Yi, In-Hyeop; Yi, In-Hyeop

doi:10.7468/jksmeb.2011.18.3.261

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2011, v.18 no.3, pp.261-268

https://doi.org/10.7468/jksmeb.2011.18.3.261

Yi, In-Hyeop

Yi,, I. (2011). GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(3), 261-268, https://doi.org/10.7468/jksmeb.2011.18.3.261

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Abstract

For a compact Hausdorff space X with its p-fold covering map <TEX>${\sigma}$</TEX>, we construct its corresponding topological groupoid <TEX>${\Gamma}$</TEX>, and show that there is a strong relation between the dynamical structures of (X, <TEX>${\sigma}$</TEX>) and the groupoid structures of <TEX>${\Gamma}$</TEX>.

keywords: groupoid, covering map, minimal action, irreducible action, essentially free action

Reference

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Article Contents

Vol.18 No.3

GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS

Abstract

Reference

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics