GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS

Yi, In-Hyeop; Yi, In-Hyeop

doi:10.7468/jksmeb.2011.18.3.261

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P-ISSN3059-0604
E-ISSN3059-1309
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Vol.18 No.3

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GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

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, 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 ${\sigma}$, we construct its corresponding topological groupoid ${\Gamma}$, and show that there is a strong relation between the dynamical structures of (X, ${\sigma}$) and the groupoid structures of ${\Gamma}$.

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: Theoretical Mathematics and Pedagogical Mathematics