Results 61 to 70 of about 246 (128)
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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Una caracterización de las bornologías polares [PDF]
, 2019 Let E be a regular b.c.s. ( a Hausdoff l.c.s. ), and let F be a normed space. We consider the spaces El all bounded ( continuous ) linear mappings of E into F, provided with its natural topology ( its equi continuous bornology ) . By defíning E^n= (E^n-1
Canela Campos, Miguel Ángel
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Matematychni 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]
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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Comparitive analysis of bornology in the categories of frolicher spaces and topological spaces
A thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2023This thesis seeks to introduce the concept of bornology to ...
Mahudu, Ben Moditi
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Further Properties of Bornological Groups
, 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
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On the semi-uniformity of bornological convergence
, 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
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The structure of extended real-valued quasi-metric spaces [PDF]
, 2018 ThesisAn extended quasi-metric q on a nonempty set X without any assumed structure is a distance functional that satis es the usual properties of a quasi-metric except that it can assume values of in nity, in addition to non-negative real values. Given
Matindih, Levy Kahyata
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A study on the dual of $C(X)$ with the topology of (strong) uniform convergence on a bornology
This article begins by deriving a measure-theoretic decomposition of continuous linear functionals on $C(X)$, the space of all real-valued continuous functions on a metric space $(X, d)$, equipped with the topology $τ_\mathcal{B}$ of uniform convergence ...
Kumar, Akshay
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Topological and bivariant K-theory
, 2007 Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory.
Rosenberg, Jonathan M +3 more
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