IJPAM: Volume 88, No. 3 (2013)
Department of Mathematics and Descriptive Geometry
Technical University in Zvolen
T.G. Masaryka 24, SK-960 53 Zvolen, SLOVAKIA
Department of Mathematics
Faculty of Applied Informatics
Tomas Bata University in Zlín
Nad Stráněmi 4511, CZ-760 05 Zlín, CZECH REPUBLIC
Abstract. In this paper we deal with a characterization of weak Volterra and Volterra spaces which is based on a general concept derived from a given nonempty system of nonempty subsets of a topological space. It is shown that a system of all preopen -sets is suitable for characterization of weak Volterra and Volterra spaces.
Received: July 23, 2013
AMS Subject Classification: 54A05, 54E52
Key Words and Phrases: Volterra space, weakly Volterra space, cluster system, ideal, -resolvable space, preopen -set, boundary -set, -nowhere dense set
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DOI: 10.12732/ijpam.v88i3.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395