IJPAM: Volume 88, No. 3 (2013)

CHARACTERIZATION OF VOLTERRA SPACES

Milan Matejdes
Department of Mathematics and Descriptive Geometry
Technical University in Zvolen
T.G. Masaryka 24, SK-960 53 Zvolen, SLOVAKIA
and
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 $\mathcal E $ of nonempty subsets of a topological space. It is shown that a system of all preopen $G_\delta $-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, $\mathcal J$-resolvable space, preopen $G_\delta $-set, boundary $F_\sigma$-set, $\sigma$-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
Year: 2013
Volume: 88
Issue: 3