The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS

  • Yi, In-Hyeop (Department of Mathematics Education, Ewha Womans University)
  • Received : 2011.05.02
  • Accepted : 2011.07.15
  • Published : 2011.08.31
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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 ${\Gamma}$.

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Acknowledgement

Supported by : Ewha Womans University

References

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