Open AccessEXTENSIONS GENERATED BY CLOSED SETS
Author(s) -
M. E. Abd El-Monsef,
A.M. Kozae,
A. A. ABO-KHADRA
Publication year - 1993
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.25.1994.4488
Subject(s) - mathematics , extension (predicate logic) , topological space , space (punctuation) , topology (electrical circuits) , closed set , discrete mathematics , combinatorics , pure mathematics , computer science , programming language , operating system
From the nonempty collection of all closed sets $(Y)$ of any topological space $(X , \tau)$, Schmidt generates a topological space $(Y,\mathcal{U})$. In this paper, we give some properties of this topological space. We determined when $(f,(Y,\mathcal{U}))$ is an extension of $(X , \tau)$. Also we give some separation properties. This paper leads us to unsolved problem men- tioned at the encl of it.
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