IJPAM: Volume 85, No. 5 (2013)

GENERALIZED 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 deals with a general concept of classification of subsets of a topological space X with respect to a given nonempty system E ⊂ 2X \ {∅}. Using system E, the notions of E-Volterra and weakly E-Volterra spaces are introduced which covers classical Volterra and weakly Volterra spaces as well as irresolvable spaces.

Received: May 20, 2013

AMS Subject Classification: 54A05, 54E52

Key Words and Phrases: Baire space, Volterra space, weakly Volterra space, resolvable space

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DOI: 10.12732/ijpam.v85i5.13 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: 85
Issue: 5