Results 51 to 60 of about 181 (133)
Real Functions, Covers and Bornologies
Abstract The paper tries to survey the recent results about relationships between covering properties of a topological space X and the space USC( X ) of upper semicontinuous functions on X with ...
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THE EXTENDED SMIRNOV THEOREM FOR PSEUDONEARNESS [PDF]
Pseudonearness is a common enlargement of bornology, b-topology, pseudoproximity and classical nearness as well. Furthermore, generalized contiguity, here defined as contiguous pseudonearness, can be dealt with.By using the b-completion of a regulative ...
Vaziry, Zohreh, Leseberg, Dieter
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We study statistical versions of several types of convergence of sequences of functions between two metric spaces. Special attention is devoted to statistical versions of recently introduced notions of exhaustiveness (Gregoriades and Papanastassiou (2008)
CASERTA, Agata +3 more
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Bornology, uniformity, vector topology, Stone-$\check{C}$ech compactification, antitall ...
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Regular variation on Polish spaces, continuous maps and compound maxima [PDF]
This thesis focuses on regular variation in Polish spaces equipped with the general notion of scaling, bornology, and modulus. The bornology represents the collection of bounded sets, while the modulus generalises the metric to an arbitrary continuous ...
Milinčević, Nikolina
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On a topological universe of L-bornological spaces
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Jan Paseka +2 more
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Further Properties of Bornological Groups
In this work, Further properties of bornological groups are studied to find the sufficient conditions to introduce a bornology on a group. In particular, we show that every left (right) translations in bornological groups are isomorphisms and therefore ...
I. S. Rakhimov, Anwar N. Imran
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Barrelled and Bornological Function Spaces
A subset \(K\) of a completely regular topological space \(Y\) is \(t\)-bounded if \(f(K)\) is a bounded subset of \(\mathbb{R}\) for every real continuous function \(f\) on \(Y\). Let \(X\) be a completely regular topological space. \(\nu X\) is the real-compactification of \(X\).
Dontchev, Julian +2 more
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Convenient Vector Superspaces Without Norm And Their Properties
One of the most widespread methods of modeling nature through elementary particles is to use field theory. In this paper this leads to the study of super spaces and super manifolds based on topological spaces without norm.
S.K, Kemboi +3 more
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On the semi-uniformity of bornological convergence
When in the construction of the ρ-Hausdorff distance the balls with finite radius are replaced with an arbitrary ideal of bounded sets we no longer obtain a uniformity, but a semi-uniformity.
Vroegrijk, T
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