• Games and Metrisability of Manifolds

      Cao, J; Gauld, DB; Greenwood, S; Mohamad, A (Joint committee of the New Zealand Mathematical Society and the Department of Mathematics of the University of Auckland., 2008)
      Using topological games we investigate connections between properties of topological spaces and their spaces of continuous functions with the compact-open topology. This leads to new criteria for metrisability of a manifold. ...
    • The ideal generated by sigma-nowhere dense sets

      Cao, J; Greenwood, S (Applied General Topology, Universidad Politecnica de Valencia, 2006)
      In this paper, we consider the ideal I¾ generated by all ¾-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored. We show that I¾ is compatible with ...
    • The ideal generated by sigma-nowhere dense sets

      Cao, J; Greenwood, S (Universidad Politecnica de Valencia, 2006)
      In this paper, we consider the ideal I_σ generated by all σ-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored. We show that I_σ is compatible with ...