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ON THE DENSITY TYPE TOPOLOGIES IN HIGHER DIMENSIONS

Part of: Generalities

Published online by Cambridge University Press:  14 September 2010

GRAŻYNA HORBACZEWSKA
GRAŻYNA HORBACZEWSKA*
Affiliation:
Department of Mathematics and Computer Science, University of Łódz, Banacha 22, 90 238 Łódz, Poland (email: grhorb@math.uni.lodz.pl)
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Abstract

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The topologies of the density type in Euclidean space of dimension higher than one are introduced. Definitions are based on a notion of density point connected with a set of sequences of real numbers. Our purpose is to study properties of these topologies and connections between them.

Keywords

density pointscomparison of topologies

MSC classification

Secondary: 54A10: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 1 , February 2011 , pp. 158 - 170
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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