The structure of the poset of regular topologies on a set

The structure of the poset of regular topologies on a set

We study the subposet E3(X) of the lattice L1(X) of all T1-topologies on a set X, being the collections of all T3 topologies on X, with a view to deciding which elements of this partially ordered set have and which do not have immediate predecessors. We show that each regular topology which is not R...

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Bibliographic Details
Main Authors: Ofelia T. Alas, Richard G. Wilson
Format: Article
Language:English
Published: Universitat Politècnica de València 2011-04-01
Series:Applied General Topology
Subjects:
Lattice of T1-topologies
Poset of T3-topologies
Upper topology
Lower topology
R-closed space
R-minimal space
Submaximal space
Maximal R-closed space
Dispersed space
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1695

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1695

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