A theorem on near equicontinuity of transformation groups
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- by Fred A. Roberson PDF
- Proc. Amer. Math. Soc. 27 (1971), 189-191 Request permission
Abstract:
A transformation group is nearly equicontinuous if the set of nonequicontinuous points is zero dimensional and compact. It has been shown that if a transformation group is nearly equicontinuous with locally compact, locally connected metric phase space and if the set of equicontinuous points is connected, then the set $N$ of nonequicontinuous points can contain at most two minimal sets. In this paper we will show that if in addition the phase space is not compact, then $N$ contains exactly one minimal set.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 189-191
- MSC: Primary 54.82
- DOI: https://doi.org/10.1090/S0002-9939-1971-0267559-0
- MathSciNet review: 0267559