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>.
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