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1998/1999 Some Modifications of the Core Topology on the Plane
Grażyna Horbaczewska
Real Anal. Exchange 24(1): 185-204 (1998/1999).


In this paper we introduce some modifications of the core topology on the plane. Here the role of the Euclidean topology on the real line on every or almost every direction is played by the density topology or the Hashimoto topology connected with the $\sigma$-ideal of null sets and the $\sigma$-ideal of meager sets. We demonstrate the proper inclusions between these families, we investigate the separation axioms and functions continuous with respect to these topologies.


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Grażyna Horbaczewska. "Some Modifications of the Core Topology on the Plane." Real Anal. Exchange 24 (1) 185 - 204, 1998/1999.


Published: 1998/1999
First available in Project Euclid: 23 March 2011

zbMATH: 0938.54001
MathSciNet: MR1691745

Primary: 54A10

Keywords: comparison of topologies , core topology , Density topologies

Rights: Copyright © 1998 Michigan State University Press

Vol.24 • No. 1 • 1998/1999
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