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  Relative dimension r-dim and finite spaces 

  Megaritis, A.C. (Universitat Politècnica de València, 2012-04-01)

  [EN] In a relative covering dimension is defined and studied which is denoted by r-dim. In this paper we give an algorithm of polynomial order for computing the dimension r-dim of a pair (Q,X), where Q is a subset of a ...
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  Topological conditions for the representation of preorders by continuous utilities 

  Minguzzi, E. (Universitat Politècnica de València, 2012-04-01)

  [EN] We remove the Hausdorff condition from Levin's theorem on the representation of preorders by families of continuous utilities. We compare some alternative topological assumptions in a Levin's type theorem, and show ...
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  Random selection of Borel sets II 

  Günther, Bernd (Universitat Politècnica de València, 2012-04-01)

  [EN] The theory of random Borel sets as presented in part I of this paper is developed further. Special attention is payed to the reconstruction of the topology of the underlying space from our presentation of the measure ...
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  Hereditary separability in Hausdorff continua 

  Daniel, D.; Tuncali, M. (Universitat Politècnica de València, 2012-04-01)

  [EN] We consider those Hausdorff continua S such that each separable subspace of S is hereditarily separable. Due to results of Ostaszewski and Rudin, respectively, all monotonically normal spaces and therefore all continuous ...
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  Aspects of RG-spaces 

  Abohalfya, F.; Raphael, R. (Universitat Politècnica de València, 2012-04-01)

  [EN] A Tychonoff space X which satisfies the property that G(X) = C(Xδ) is called an RG-space, where G(X) is the minimal regular ring extension of C(X) inside F(X), the ring of all functions from X to R, and Xδ is the ...

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