Results 51 to 60 of about 181 (133)

Real Functions, Covers and Bornologies

open access: yesTatra Mountains Mathematical Publications, 2021
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 ...
openaire   +2 more sources

THE EXTENDED SMIRNOV THEOREM FOR PSEUDONEARNESS [PDF]

open access: yes
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
core   +1 more source

On statistical exhaustiveness

open access: yes, 2012
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
core   +1 more source

A note on bornologies

open access: yesMatematychni Studii, 2018
Bornology, uniformity, vector topology, Stone-$\check{C}$ech compactification, antitall ...
openaire   +2 more sources

Regular variation on Polish spaces, continuous maps and compound maxima [PDF]

open access: yes
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
core   +1 more source

On a topological universe of L-bornological spaces

open access: yesSoft Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan Paseka   +2 more
openaire   +3 more sources

Further Properties of Bornological Groups

open access: yes, 2017
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
core   +1 more source

Barrelled and Bornological Function Spaces

open access: yesJournal of Mathematical Analysis and Applications, 2000
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
openaire   +1 more source

Convenient Vector Superspaces Without Norm And Their Properties

open access: yes, 2014
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
core  

On the semi-uniformity of bornological convergence

open access: yes, 2016
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
core  

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