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http://dx.doi.org/10.14403/jcms.2022.35.4.329

ON THE ALMOST SHADOWING PROPERTY FOR HOMEOMORPHISMS  

Koo, Namjip (Department of Mathematics Chungnam National University)
Lee, Hyunhee (Department of Mathematics Chungnam National University)
Tsegmid, Nyamdavaa (Department of Mathematics Mongolian National University of Education)
Publication Information
Journal of the Chungcheong Mathematical Society / v.35, no.4, 2022 , pp. 329-333 More about this Journal
Abstract
In this paper we investigate some properties concerning the set of shadowable points for homeomorphisms. Then we show that the almost shadowing property is preserved by a topological conjugacy between homeomorphisms. Also, we give an example to illustrate our results.
Keywords
shadowable point; shadowing property; almost shadowing property; topological conjugacy;
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