Results 71 to 80 of about 560 (152)
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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Relatively realcompact sets and nearly pseudocompact spaces [PDF]
, 1993 summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper relatively realcompact sets are defined, and it is shown that a space is nearly pseudocompact iff every relatively realcompact open set is relatively ...
Schommer, John J.
core
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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Pseudocompactifications and pseudocompact spaces
, 1975 We begin this paper with a survey of characterizations of pseudocompact spaces and relate pseudocompactness to other forms of compactness such as light compactness, countable compactness, weak compactness, etc. Some theorems on properties of subspaces of
Sawyer, Jane Orrock
core
G-compactifications of pseudocompact G-spaces
, 2008 Examples of a pseudocompact (even countably compact) G-space which is not G-Tychonoff and of a locally compact pseudocompact (even countably compact) G-Tychonoff space X with βGX≠βX are ...
Sokolovskaya, Aleena
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Pseudocompact group topologies with prescribed topological subspaces [PDF]
, 2009 We prove that every pseudocompact topological Abelian group G admits a pseudocompact topological group topology with a non-trivial convergent sequence. Imposing some restrictions on the properties of G, stronger properties are also obtained.
Tomita, Artur Hideyuki +2 more
core
Minimal pseudocompact group topologies on free abelian groups [PDF]
, 2009 A Hausdorff topological group G is minimal if every continuous isomorphism f : G → H between G and a Hausdorff topological group H is open. Significantly strengthening a 1981 result of Stoyanov, we prove the following theorem: For every infinite minimal ...
Dmitri Shakhmatov +5 more
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Embeddings into pseudocompact spaces of countable tightness
, 2004 A method for embedding certain countable spaces into a pseudocompact Tychonoff space of countable tightness is given. In particular, this permits construction under [CH] of two pseudocompact Tychonoff spaces of countable tightness, one does not have ...
Bella, Angelo, Pavlov, Oleg I.
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