Results 141 to 150 of about 1,185 (166)

Normal Base Compactifications

open access: yesIndagationes Mathematicae (Proceedings), 1964
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Near Compactifications

Mathematische Nachrichten, 1990
This paper uses proximities to obtain near compactifications of topological spaces. Typical of the results is the following theorem. Every Hausdorff almost completely regular space (X,\(\tau\)) has a Hausdorff near compactification \((X^*,{\mathcal T})\) corresponding to each compatible EF-proximity \(\delta\) on its semi-regularization \((X,\tau_ s)\).
CAMMAROTO, Filippo, SOM NAIMPALLY
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Compactifications, A-compactifications and proximities

Annali di Matematica Pura ed Applicata, 1995
A functor \(S\) from Alexandroff spaces \(X\) into distributive lattices is studied and used to describe proximities on \(X\) and an isomorphism between all compactifications of \(X\) and some sublattices of \(S(X)\). At the end, two concrete categories are introduced, one of them isomorphic and the other dual to \textbf{Prox} (objects of the ...
Dimov, Georgi, Tironi, Gino
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Products of Compactifications

Acta Mathematica Hungarica, 2002
Let \(X\) be a completely regular (Hausdorff) topological space and \(b_1X\), \(b_2X\) two compactifications of \(X\). The natural inclusions \(i_k\:X \to b_kX\), \(k = 1,2\) define a new inclusion \(i\:X \to b_1X \times b_2X\) by \(i(x) = (i_1(x), i_2(x))\) for \(x\in X\). The closure of \(i(X)\) in \(b_1X \times b_2X\) is some new compactification \((
Aslim, G, Ozbakir, OB, Skljarenko, EG
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Compactifications

Canadian Journal of Mathematics, 1974
Every completely regular space has at least one Hausdorff compactification and much research in Topology has been devoted to methods of constructing the compactifications of completely regular spaces. These methods fall into two general categories: internal methods and external methods.
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Stable Compactification I

Journal of the London Mathematical Society, 1992
Motivated by problems in the theory of computation, the author studies \(T_ 0\) quasi-proximity spaces and their bicompletions (= stable compactifications). Methods from lattice theory are used throughout this interesting paper whenever they are appropriate. It is now widely recognized that the theory of stable compactifications (and quasi-proximities)
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Semidirect Product Compactifications

Canadian Journal of Mathematics, 1983
1. Introduction. K. Deleeuw and I. Glicksberg [4] proved that if S and T are commutative topological semigroups with identity, then the Bochner almost periodic compactification of S × T is the direct product of the Bochner almost periodic compactifications of S and T.
Dangello, F., Lindahl, R.
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