Search

Search results for

We found 5 results for you
  1. C<sub>b</sub> (<em>X</em>) Revisited: Induced Map And Submetrizability

    Cb (X) Revisited: Induced Map And Submetrizability

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: S. Kundu
    This paper, in the first half, studies the induced map on the space C b(X) of all continuous real-valued functions on a Tychonoff spaceX, where the function space has the bounded-open topology. In the second half, the submetrizability of C...
    View item »
  2. A Few Points on Pointfree Pseudocompactness

    A Few Points on Pointfree Pseudocompactness

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Themba Dube Phethiwe Matutu
    We present several characterizations of completely regular pseudocompact frames. The first is an extension to frames of characterizations of completely regular pseudocompact spaces given by Väänänen. We follow with an embedding-type characterization stating that a completely regular frame is pseudocompact...
    View item »
  3. Hard pseudocompact spaces

    Hard pseudocompact spaces

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Partha Pratim Ghosh --- Indian Statistical Institute, North East Centre, India Biswajit Mitra --- School of Mathematical Sciences, South Africa
    The purpose of this paper is to show that hard pseudocompact spaces are indeed a significant generalisation of pseudocompact spaces on one hand and realcompact spaces on the other. To achieve this we have provided four intrinsic characterisations of hard...
    View item »
  4. Characterizations of maximal <em>z</em>°-ideals of <em>C</em>(<em>X</em>) and real maximal ideals of <em>q</em>(<em>X</em>)

    Characterizations of maximal z°-ideals of C(X) and real maximal ideals of q(X)

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Z. Arjmandnezhad --- Shahid Chamran University of ahvaz, Iran F. Azarpanah --- Shahid Chamran University of ahvaz, Iran A.A. Hesari --- Shahid Chamran University of ahvaz, Iran A.R. Salehi --- Petroleum University of Technology, Iran
    In this paper we first give elementwise characterizations of real maximal ideals and maximal z°-ideals of C(X). Next, using this we characterize the real maximal ideals of the classical ring of quotients q(X) of C(X) and also maximal z°-ideals of...
    View item »
  5. Linear equivalence of (pseudo) compact spaces

    Linear equivalence of (pseudo) compact spaces

    Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Jan Baars --- , Singapore Jan van Mill --- KdV Institute for Mathematics, University of Amsterdam, The Netherlands Vladimir V. Tkachuk --- Universidad Autónoma Metropolitana, Mexico
    Given Tychonoff spaces X and Y, Uspenskij proved in [15] that if X is pseudocompact and Cp(X) is uniformly homeomorphic to Cp (Y), then Y is also pseudocompact. In particular, if Cp (X) is linearly homeomorphic to Cp (Y), then...
    View item »