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http://dx.doi.org/10.14403/jcms.2016.29.3.397

ALMOST OPEN AND ALMOST HOMEOMORPHISMS

Kim, Gui Seok (Department of Mathematics Hoseo University)
Lee, Kyung Bok (Department of Mathematics Hoseo University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.29, no.3, 2016 , pp. 397-416 More about this Journal

Abstract

This paper is devoted to the study of various notions of almost openness and almost homeomorphisms and the characterization of some of them in terms of the relative interior operator. Generally, openness (or quasi-openness) for a continuous map f is well known. We define openness (or quasi-openness) at a point x using the relative interior operator and characterize that a continuous map f is almost open, almost quasi-open, almost embedding and almost homeomorphsims.

Keywords

almost open; almost qusi-open; almost embedding; almost homeomorphisms;

Citations & Related Records

Reference

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