Results 61 to 70 of about 226 (114)
Comment.Math.Univ.Carolinae 37,3 (1996)579{589 579 Pseudocompactness and the cozero part of a frame
. A characterization of the cozero elements of a frame, without reference to the reals, is given and is used to obtain a characterization of pseudocompactness also independent of the reals.
Bernhard Banaschewski +1 more
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TWO OPEN-POINT GAMES RELATED TO SELECTIVE (SEQUENTIAL) PSEUDOCOMPACTNESS, WITH APPLICATION TO 1-CL-STARCOMPACTNESS PROPERTY OF MATVEEV (Research Trends on Set-theoretic and Geometric Topology and their cooperation with various branches) [PDF]
A topological space X is selectively sequentially pseudocompact (selectively pseudocompact) if for every sequence {U_{n} : n in mathrm{N}} of non-empty open subsets of X, one can choose a point x_{n} in U_{n} for every n in mathrm{N} in such a way that ...
Dorantes-Aldama, Alejandro +1 more
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For an infinite cardinal alpha, we say that a subset B of a space X is C-alpha-compact in X if for every continuous function f:X --> R-alpha, f[B] is a compact subset of R-alpha.
Tamariz, A +2 more
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Maximal pseudocompact spaces [PDF]
summary:Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal ...
Stephenson, R. M., Jr. +2 more
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A connected pseudocompact space
In this article a space \(X\) is called pseudocompact if every discrete collection of open subsets of \(X\) is finite. Recall that a set \(A\) is said to be conditionally compact or relatively countably compact in a space \(X\) if every infinite subset of \(A\) has a limit point in \(X\). At the 1990 Summer Conference in General Topology at Long Island
openaire +2 more sources
Pseudocompactness and chain conditions
Available from British Library Document Supply Centre- DSC:D95168 / BLDSC - British Library Document Supply CentreSIGLEGBUnited ...
Tree, I.J
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On resolvability, connectedness and pseudocompactness
We prove that: I. If $L$ is a $T_1$ space, $|L|>1$ and $d(L) \leq \kappa \geq \omega$, then there is a submaximal dense subspace $X$ of $L^{2^\kappa}$ such that $|X|=\Delta(X)=\kappa$; II.
Lipin, Anton
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