Results 41 to 50 of about 117 (105)
F-points in countably compact spaces
Applied General Topology, 2001 Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.
Angelo Bella, V.I. Malykhin
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Some properties of the ideal of continuous functions with pseudocompact support
International Journal of Mathematics and Mathematical Sciences, 2001 Let C(X) be the ring of all continuous real-valued functions defined on a completely regular T1-space. Let CΨ(X) and CK(X) be the ideal of functions with pseudocompact support and compact support, respectively.
E. A. Abu Osba, H. Al-Ezeh
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An operation on topological spaces
Applied General Topology, 2000 A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural continuity requirements are satisfied ...
A.V. Arhangelskii
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Applied General Topology, 2008 In this note a new class of topological spaces generalizing k-spaces, the pseudo-k-spaces, is introduced and investigated. Particular attention is given to the study of products of such spaces, in analogy to what is already known about k-spaces and quasi-
Anna Maria Miranda
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Functions with pseudocompact support
General Topology and its Applications, 1973 AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous functions on X, CK the ideal of functions with compact support, I the intersection of the free maximal ideals of C(X), and Cψ the ideal of functions with pseudocompact support. For any space, CK ⊆ I ⊆ Cψ. When CK = I, or I = Cψ, or CK = Cψ , it is said that X
Johnson, D.G., Mandelker, Mark
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The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
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Set-open topologies on function spaces
Applied General Topology, 2018 Let X and Y be topological spaces, F(X,Y) the set of all functions from X into Y and C(X,Y) the set of all continuous functions in F(X,Y). We study various set-open topologies tλ (λ ⊆ P(X)) on F(X,Y) and consider their existence, comparison and ...
Wafa Khalaf Alqurashi +2 more
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The partially pre-ordered set of compactifications of Cp(X, Y)
Topological Algebra and its Applications, 2015 In the set of compactifications of X we consider the partial pre-order defined by (W, h) ≤X (Z, g) if there is a continuous function f : Z ⇢ W, such that (f ∘ g)(x) = h(x) for every x ∈ X. Two elements (W, h) and (Z, g) of K(X) are equivalent, (W, h) ≡X (
Dorantes-Aldama A. +2 more
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The character of free topological groups I
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
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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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