Results 191 to 200 of about 7,222 (223)
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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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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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Rich Proximities and Compactifications
Canadian Journal of Mathematics, 1981Each Hausdorff compactification of a given Tychonoff space is the Smirnov compactification associated with a compatible proximity on the space. Also each realcompactification of a given Tychonoff space is the underlying topological space of the completion of a compatible uniformity on the space. But if T is a realcompactification of a Tychonoff space X
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1997
Abstract It is well known that compactifications do not often preserve metrizability. Thus for instance a nontrivial Čech-Stone compactification is never metrizable. And even if a compactification is metrizable, then it need not be metrizable by an extension of the given metric.
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Abstract It is well known that compactifications do not often preserve metrizability. Thus for instance a nontrivial Čech-Stone compactification is never metrizable. And even if a compactification is metrizable, then it need not be metrizable by an extension of the given metric.
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The KSBA compactification of the moduli space of $$D_{1,6}$$-polarized Enriques surfaces
Mathematische Zeitschrift, 2021Luca Schaffler
exaly
On The Lattices of Compactifications
Journal of the London Mathematical Society, 1972openaire +1 more source
Perfect compactifications of functions.
2000Generalizing to maps some results by \textit{E. G. Sklyarenko} [Sov. Math., Dokl. 2, 238--240 (1961; Zbl 0136.19502)] on perfect compactifications, the authors prove that a Tikhonov compactification \(bf\) of a mapping \(f\) is a perfect extension if the canonical mapping \(\beta f\to bf\) is monotone; thus the maximal compactification \(\beta f\) is ...
NORDO, Giorgio, PASYNKOV B. A.
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A one-point compactification for lattice-valued convergence spaces
Fuzzy Sets and Systems, 2012GÜNTHER Jäger
exaly
Local connectedness and the wallman compactification
Quaestiones Mathematicae, 2012Dharmanand Baboolal
exaly