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Some Modifications of Density Topologies
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G. Horbaczewska
Published/Copyright:
June 4, 2010
Abstract
In this paper we introduce two topologies on the plane connected with the notions of density and I-density. Their definitions are based on the notion of a regular density point. We investigate connections between them and the density and I-density topologies on the plane and on the real line. We consider axioms of separation and functions continuous with respect to these topologies.
Received: 2000-02-29
Revised: 2000-09-05
Published Online: 2010-06-04
Published in Print: 2001-June
© Heldermann Verlag
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Articles in the same Issue
- Semistable Selfdecomposable Laws on Groups
- Topological Approach to Hemivariational Inequalities with Unilateral Growth Condition
- Generalized Solutions of a Periodic Goursat Problem
- On Almost Global Existence for the Cauchy Problem for Compressible Navier-Stokes Equations in the Lp-Framework
- Compositions of Sierpiński–Zygmund Functions from the Left
- Some Modifications of Density Topologies
- On the Topological Entropy of Green Interval Maps
- On the Continuous Dependence on Parameters of Solutions of the Fourth Order Periodic Problem
- Generalized Cantor Sets and Sets of Sums of Convergent Alternating Series
