Minimal TUD spaces

A topological space is TUD if the derived set of each point is the union of disjoint closed sets. We show that there is a minimal TUD space which is not just the Alexandroff topology on a linear order. Indeed the structure of the underlying partial order of a minimal TUD space can be quite complex....

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Bibliographic Details
Main Authors: A.E. McCluskey, W.S. Watson
Format: Article
Language:English
Published: Universitat Politècnica de València 2002-04-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/2112