The pseudo orbit tracing property and expansiveness on uniform spaces

The pseudo orbit tracing property and expansiveness on uniform spaces

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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