The pseudo orbit tracing property and expansiveness on uniform spaces

• 영문명: The pseudo orbit tracing property and expansiveness on uniform spaces
• 발행기관: 충청수학회
• 저자명: 이경복(Kyung Bok Lee)
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 35, No. 3, 255~267쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2022.08.31

영문 초록

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 ).

목차

1. Introduction and preliminaries

2. Stable and unstable sets

3. Sink, source and saddle

4. Recurrent points

References

키워드

POTP and expansiveness Recurrent points stable and unstable sets uniform space