Finite extensions of minimal transformation groups
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- by Robert J. Sacker and George R. Sell PDF
- Trans. Amer. Math. Soc. 190 (1974), 325-334 Request permission
Abstract:
In this paper we shall study homomorphisms $p:W \to Y$ on minimal transformation groups. We shall prove, in the case that W and Y are metrizable, that W is a finite (N-to-1) extension of Y if and only if W is an N-fold covering space of Y and p is a covering map. This result places no further restrictions on the acting group. We shall then use this characterization to investigate the question of lifting an equicontinuous structure from Y to W. We show that, under very weak restrictions on the acting group, this lifting is always possible when W is a finite extension of Y.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 190 (1974), 325-334
- MSC: Primary 54H20
- DOI: https://doi.org/10.1090/S0002-9947-1974-0350715-8
- MathSciNet review: 0350715