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Spaces with regular nonabelian self covers. II. (English) Zbl 1439.54016

Summary: We produce a disk with countably many holes which has, for each finite group \(G\), a regular self cover with group of deck transformations isomorphic to \(G\). This disk with holes is then used to produce other examples of continua with the same self covering property.
For Part I, see [A. L. Delgado and the author, Houston J. Math. 43, No. 4, 1323–1336 (2017; Zbl 1398.54054)].

MSC:

54F15 Continua and generalizations
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
57M10 Covering spaces and low-dimensional topology

Citations:

Zbl 1398.54054
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References:

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