Minimal TUD spaces
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https://riunet.upv.es/handle/10251/82019
Cita bibliográfica
Mccluskey, A.; Watson, S. (2002). Minimal TUD spaces. Applied General Topology. 3(1):55-64. https://doi.org/10.4995/agt.2002.2112
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[EN] 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. This contrasts sharply with the known results on minimality for weak separation axioms.
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Applied General Topology issn: 1576-9402