Results 31 to 40 of about 116 (102)
Functions on products of pseudocompact spaces [PDF]
Topology and its Applications, 2022 For every natural number $ n $, any continuous function on the product of $ X_1 \times X_2 \times ... \times X_n $ pseudocompact spaces extends to a separately continuous function on the product $ βX_1 \times βX_2 \times ... \times βX_n $ of their Stone-Cech compactifications.
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On weaker forms of compactness Lindelöfness and countable compactness
International Journal of Mathematics and Mathematical Sciences, 1990 A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed.
D. Baboolal, J. Backhouse, R. G. Ori
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On nearly pseudocompact spaces
Topology and its Applications, 1980 AbstractA completely regular space X is called nearly pseudocompact if υX−X is dense in βX−X, where βX is the Stone-Čech compactification of X and υX is its Hewitt realcompactification. After characterizing nearly pseudocompact spaces in a variety of ways, we show that X is nearly pseudocompact if it has a dense locally compact pseudocompact subspace ...
Henriksen, Melvin, Rayburn, Marlon C.
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A metrisation theorem for pseudocompact spaces [PDF]
Bulletin of the Australian Mathematical Society, 2001 In this paper we prove that a completely regular pseudocompact space with a quasi-regular-Gδ-diagonal is metrisable.
Good, Chris, Mohamad, A. M.
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The equivalence of two definitions of sequential pseudocompactness
Applied General Topology, 2016 We show that two possible definitions of sequential pseudocompactness are equivalent, and point out some consequences.
Paolo Lipparini
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Free Subspaces of Free Locally Convex Spaces
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult. The best results in the literature are that if L(X) can be embedded as a topological vector subspace of L(I), where I=[0 ...
Saak S. Gabriyelyan +2 more
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Periodic Solutions and S‐Asymptotically Periodic Solutions to Fractional Evolution Equations
Discrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017 This paper deals with the existence and uniqueness of periodic solutions, S‐asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl‐Liouville fractional derivative defined for periodic functions. Applying Fourier transform we give reasonable definitions of mild solutions.
Jia Mu, Yong Zhou, Li Peng, Can Li
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Brandt Extensions and Primitive Topological Inverse Semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010 We study (countably) compact and (absolutely) H‐closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.
Tetyana Berezovski +3 more
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Irreducible morphisms, the Gabriel‐valued quiver and colocalizations for coalgebras
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Given a basic K‐coalgebra C, we study the left Gabriel‐valued quiver (QC, dC) of C by means of irreducible morphisms between indecomposable injective left C‐comodules and by means of the powers radm of the radical rad of the category C‐inj of the socle‐finite injective left C‐comodules. Connections between the valued quiver (QC, dC) of C and the valued
Daniel Simson
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On RG-spaces and the regularity degree
Applied General Topology, 2006 We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following, X is called RG when G(X) = C(Xδ). An RG-space must have a dense set of very weak P-points.
R. Raphael, R.G. Woods
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