Results 41 to 50 of about 181 (133)
, 2023 The new class on bornology, which it is called S*- bornological group are studied, to reduce the boundedness condition for product and inverse maps. This is related structure to bornological group.
Anwar N. I., Naba A. D.
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Crossconvergence: A new bounded topological presentation
Applied General TopologyWe present crossconvergence, which commonly generalize bornology, preuniform convergence, orderconvergence, b-uniform filtration and grill-determined prenearness.
Dieter Leseberg, Zohreh Vaziry
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Total boundedness and bornologies
, 2009 A set A in a metric space is called totally bounded if for each ε>0 the set can be ε-approximated by a finite set. If this can be done, the finite set can always be chosen inside A.
Beer, Gerald, Levi, Sandro
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Bornological Transformation Group
Journal of Al-Qadisiyah for Computer Science and Mathematics, 2021 In this paper, the researcher recalls the definitions of bornological set & bornological group and gives some examples in detalis. Additionally, the primary goal of this research is to introduce bornological transformation group, which are formulated on bornological group acts on bornological set.
Farah J. Sadiq +2 more
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Journal of Mathematical Analysis and Applications, 2004 The authors consider some special topologies of hyperspaces based on so-called bornologies. A bornology on a set \(X\) is a family \(\mathcal S\) of subsets of \(X\) such that: \(\mathcal S\) is a cover of \(X\), \(\mathcal S\) is closed under subsets and \(\mathcal S\) is closed under finite unions.
Lechicki, A, LEVI, SANDRO, Spakowski, A.
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On bornological induced pseudonearness
, 2020 Pseudonearness is considered a common tool for studying bornology,b-topology, pseudoproximity, and last but not least,classicalnearness. For anypseudonear space we construct ab-completion, which generalizes the classical com-pletion of nearness spaces ...
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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On bornological products [PDF]
Glasgow Mathematical Journal, 1970 It is well known that, provided that the indexing set I is not too large, the productof a family of bornological locally convex topological vector spaces Eαis bornological. Products of bornological spaces were first studied by Mackey [3]. He reduced the problem to the study of R1, showing that this space is bornological if and only if I satisfies a ...
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A drop theorem without vector topology
, 2007 Daneš' drop theorem is extended to bornological vector spaces. An immediate application is to establish Ekeland-type variational principle and its equivalence, Caristi fixed point theorem, in bornological vector spaces.
Wong, Chi-Wing, Wong, CW
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Degrees of (L, M)-fuzzy bornologies
Open MathematicsThis article is devoted to present the degree to which a mapping defined from LX{L}^{X} to M,M, which is an (L,M)\left(L,M)-fuzzy bornology in the sense of Liang et al.
Çetkin Vildan
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