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PREOPEN SETS AND RESOLVABLE SPACES
Ganster, Maximilian Department of Mathematics 1987 Kyungpook mathematical journal Vol.27 No.2
This paper presents solutions to some recent questions raised by Katetov about the collection of preopen sets in a topological space.
Maximilian Ganster KYUNGPOOK UNIVERSITY 1996 Kyungpook mathematical journal Vol.36 No.1
We show that кN , the Katetov extension of the space of natural numbers, is maximal rc-Lindelöf thus answering a question posed by Dlaska and the author.
On a Class of γ<sup>*</sup>-pre-open Sets in Topological Spaces
Krishnan, G. Sai Sundara,Saravanakumar, D.,Ganster, M.,Ganster, M. Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.2
In this paper, a new class of open sets, namely ${\gamma}^*$-pre-open sets was introduced and its basic properties were studied. Moreover a new type of topology ${\tau}_{{\gamma}p^*}$ was generated using ${\gamma}^*$-pre-open sets and characterized the resultant topological space (X, ${\tau}_{{\gamma}p^*}$) as ${\gamma}^*$-pre-$T_{\frac{1}{2}}$ space.
On a Generalization of Closed Sets
CALDAS, MIGUEL,GANSTER, MAXIMILIAN,GEORGIOU, DIMITRIOS N.,JAFARI, SAEID,POPA, VALERIU 대한수학회 2007 Kyungpook mathematical journal Vol.47 No.2
It is the objective of this paper to study further the notion of ∧_(s)-semi-θ-closed sets which is defined as the intersection of a θ-∧_(s)-set and a semi-θ-closed set. Moreover, we introduce some low separation axioms using the above notions. Also we present and study the notions of ∧_(s)-continuous functions, ∧_(s)-compact spaces and ∧_(s)-connected spaces.