Applications of pre-open sets

Young Bae Jun; Seong Woo Jeong; Hyeon Jeong Lee; Joon Woo Lee

doi:10.4995/agt.2008.1802

Authors

Young Bae Jun Gyeongsang National University
Seong Woo Jeong Gyeongsang National University
Hyeon Jeong Lee Gyeongsang National University
Joon Woo Lee Gyeongsang National University

DOI:

https://doi.org/10.4995/agt.2008.1802

Keywords:

Pre-limit point, Pre-derived set, Pre-interior, Pre-closure, Pre-interior points, Pre-border, Pre-frontier, Pre-exterior

Abstract

Using the concept of pre-open set, we introduce and study topological properties of pre-limit points, pre-derived sets, preinterior and pre-closure of a set, pre-interior points, pre-border, prefrontier and pre-exterior. The relations between pre-derived set (resp. pre-limit point, pre-interior (point), pre-border, pre-frontier, and preexterior) and α-derived set (resp. α-limit point, α-interior (point), α-border,
α-frontier, and α-exterior) are investigated.

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Author Biographies

Young Bae Jun, Gyeongsang National University

Department of Mathematics Education (and RINS)

Seong Woo Jeong, Gyeongsang National University

Department of Mathematics Education (and RINS)

Hyeon Jeong Lee, Gyeongsang National University

Department of Mathematics Education (and RINS)

Joon Woo Lee, Gyeongsang National University

Department of Mathematics Education (and RINS)

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