Applied General Topology - Vol 05, No 2 (2004)

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  • A fuzzification of the category of M-valued L-topological spaces
  • On separation axioms of uniform bundles and sheaves
  • On the cardinality of indifference classes
  • Resolvability of ball structures
  • Relative Collectionwise Normality
  • Continuous representability of interval orders
  • Which topologies can have immediate successors in the lattice of T1-topologies?
  • Spaces whose Pseudocompact Subspaces are Closed Subsets
  • Two transfinite chains of separation conditions between T1 and T2

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Browsing Applied General Topology - Vol 05, No 2 (2004) by Subject "Cover of a topology"

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    Which topologies can have immediate successors in the lattice of T1-topologies?
    (Universitat Politècnica de València, 2004-10-01) Alas, Ofelia T.; Wilson, Richard G.; Consejo Nacional de Ciencia y Tecnología, México
    [EN] We give a new characterization of those topologies which have an immediate successor or cover in the lattice of T1-topologies on a set and show that certain classes of compact and countably compact topologies do not have covers.