Applications of pre-open sets | Zendy

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

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Applications of pre-open sets

Author(s) -

Young Bae Jun,

Seong Woo Jeong,

Hyeon Jeong Lee,

Joon Woo Lee

Publication year - 2008

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2008.1802

Subject(s) - mathematics , limit (mathematics) , limit point , closure (psychology) , point (geometry) , set (abstract data type) , frontier , limit set , open set , pure mathematics , topology (electrical circuits) , combinatorics , mathematical analysis , geometry , computer science , geography , archaeology , economics , market economy , programming language

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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