[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2022.35.3.255

THE PSEUDO ORBIT TRACING PROPERTY AND EXPANSIVENESS ON UNIFORM SPACES

Lee, Kyung Bok (Department of Mathematics Hoseo University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.35, no.3, 2022 , pp. 255-267 More about this Journal

Abstract

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).

Keywords

POTP and expansiveness; Recurrent points; stable and unstable sets; uniform space;

Citations & Related Records

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