Results 61 to 70 of about 116 (108)
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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A Note on Pseudocompact Groups [PDF]
Proceedings of the American Mathematical Society, 1989 A question of W. W. Comfort and J. van Mill on pseudocompact groups is answered.
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Zero-Dimensionality of Some Pseudocompact Groups [PDF]
Proceedings of the American Mathematical Society, 1994 We prove that hereditarily disconnected countably compact groups are zero-dimensional. This gives a strongly positive answer to a question of Shakhmatov. We show that hereditary or total disconnectedness yields zero-dimensionality in various classes of pseudocompact groups.
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Pseudocompact C*-Algebras [PDF]
, 2017 Finite dimensional C*-algebras are just finite direct sums of matrix algebras, and historically limits of finite dimensional C*-algebras, such as the algebra of compact operators, UHF algebras, and AF algebras have yielded nice classification results. We study the classes of pseudocompact and pseudomatricial C*-algebras, which are the logical limits ...
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Locally pseudocompact topological groups
Topology and its Applications, 1995 By a result of \textit{W. Comfort} and \textit{K. Ross} [Pac. J. Math. 16, 483- 496 (1966; Zbl 0214.285)], the following conditions are equivalent for a dense subgroup \(G\) of a compact topological group \(\overline {G}\): (a) \(G\) is pseudocompact; (b) \(G\) is \(C^*\)-embedded in \(\overline {G}\); (c) \(G\) is \(G_\delta\)-dense in \(\overline {G}\
Comfort, W.W, Trigos-Arrieta, F.Javier
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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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Pseudocompact groups: progress and problems
Topology and its Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pseudocompact rectifiable spaces
Topology and its Applications, 2014 A (Hausdorff) topological group \(G\) is called a rectifiable space if there are a homeomorphism \(\varphi : G\times G \rightarrow G\times G\) and an element \(e \in G\) such that \(\pi_1 \circ \varphi =\pi_1\) and for every \(x\in G\) it holds that \(\varphi (x,x)=(x,e)\), where \(\pi_1 : G\times G \rightarrow G\) denotes the projection onto the first
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Selectively pseudocompact spaces
A novel selection principle was introduced by Dorantes-Aldama and Shakhmatov: a topological space $X$ is termed {\em selectively pseudocompact} if for any sequence $(U_n:n\in ω)$ of pairwise disjoint non-empty open sets of $X$, one can choose points $x_n\in U_n$ such that the sequence $(x_n:n\in ω)$ has an accumulation point.
Juhász, István +2 more
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