학술저널
The pseudo orbit tracing property and expansiveness on uniform spaces
The pseudo orbit tracing property and expansiveness on uniform spaces
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 35, No. 3
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2022.08255 - 267 (13 pages)
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DOI : 10.14403/jcms.2022.35.3.255
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Uniform space is a generalization of metric space. The main purpose of this paper is to extend several results contained in [5, 6] which have for an expansive homeomorphism with the pseudo orbit tracing property(POTP in short) on a compact metric space (X, d) for an expansive homeomorphism with the POTP on a compact uniform space (X, U ). we characterize stable and unstable sets, sink and source and saddle, recurrent points for an expansive homeomorphism which has the POTP on a compact uniform space (X, U ).
1. Introduction and preliminaries
2. Stable and unstable sets
3. Sink, source and saddle
4. Recurrent points
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