Results 31 to 40 of about 60 (60)
, 2017 Let C(K) denote the Banach space of all (real or complex) continuous functions on a compact Hausdorff space K. We present a novel point of view on the classical Arzela-Ascoli theorem: For every pointwise bounded and equicontinuous subset F of C(K) there ...
Wojtowicz, Marek
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On some parallelism between complete regularity and zero-dimensionality
, 2018 We explore some parallelism between the categories CRFrm and 0DFrm of completely regular frames and zero-dimensional frames, respectively, with a view to establishing zero-dimensional analogues of C*-quotients.
Ighedo, Oghenetega, Mugochi, Martin M.
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The Topological Universe Of Locally Precompact Semiuniform Convergence Spaces
, 1996 . The importance of local precompactness has become apparent in theorems of the Ascoli type proved by Bentley and Herrlich [3] in the realm of filter spaces as well as by Wyler [14] in the realm of uniform limit spaces.
Gerhard Preuß
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Compactness with respect to a convergence structure
, 2004 A convergence structure for a category is given by determining convergent nets and their limits for each object of this category under validity of some basic convergence axioms.
Šlapal, Josef
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, 1997 . Semiuniform convergence spaces form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces) with many convenient properties such as cartesian ...
Gerhard Preu, Gerhard Preuß
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Псевдокомпактни полу-топологични групи
, 2012 Митрофан М. Чобан, Петър Ст. Кендеров, Уорън Б. Муурс - Полу-топологична група (съответно, топологична група) е група, снабдена с топология, относно която груповата оперция произведение е частично непрекъсната по всяка от променливите (съответно ...
Kenderov, Petar +2 more
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On lightly and countably compact spaces in ZF
, 2019 Given a topological space X = (X, T), we show in the Zermelo-Fraenkel set theory ZF that:(i) Every locally finite family of open sets of X is finite iff every pairwise disjoint, locally finite family of open sets is finite.(ii) Every locally finite ...
Keremedis, Kyriakos
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The approximation of compacta by finite T0-spaces
, 2004 It has long been known that compact Hausdorff spaces can be approximated using finite T0-spaces, and that many can be represented as inverse limits of polyhedra. Here we study the relationship between these two types of representation.
Tkachuk, Vladimir V +2 more
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Group reflection and precompact paratopological groups
Topological Algebra and its Applications, 2013 Tkachenko Mikhail
doaj +1 more source
Boolean algebras admitting a countable minimally acting group
Open Mathematics, 2014 Błaszczyk Aleksander +2 more
doaj +1 more source