Results 11 to 20 of about 579 (94)
Uniformizable and realcompact bornological universes [PDF]
Applied General Topology, 2009 Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory.
Tom Vroegrijk
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Injectivity results for coarse homology theories
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1619-1684, December 2020., 2020 Abstract We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more generally, groups with finite decomposition complexity.
Ulrich Bunke +3 more
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Soft Bornological Group Acts on Soft Bornological Set
Iraqi Journal of Science, 2023 In this paper, we introduce the notation of the soft bornological group to solve the problem of boundedness for the soft group. We combine soft set theory with bornology space to produce a new structure which is called soft bornological group. So that both the product and inverse maps are soft bounded. As well as, we study the actions of the
Ashwaq F. Abdal +3 more
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On cardinalities and compact closures
Applied General Topology, 2017 We show that there exists a Hausdorff topology on the set R of real numbers such that a subset A of R has compact closure if and only if A is countable.
Mike Krebs
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Bornological Convergence and Shields
Mediterranean Journal of Mathematics, 2011 Starting with an ideal \(\mathcal{S}\), that is, a family \(\mathcal{S}\) of nonempty subsets of a metric space \(\langle X,d\rangle\) that is closed with respect to taking finite unions and taking nonempty subsets and considering the \(\epsilon\)-enlargement of a set \(E\subseteq X\) (for \(\epsilon>0\)), defined by \(E^\epsilon:=\bigcup_{a\in E}S_ ...
Beer, G: Costantini, C, LEVI, SANDRO
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Operator Ideals arising from Generating Sequences [PDF]
, 2011 In this note, we will discuss how to relate an operator ideal on Banach spaces to the sequential structures it defines. Concrete examples of ideals of compact, weakly compact, completely continuous, Banach-Saks and weakly Banach-Saks operators will be ...
Wong, Ngai-Ching
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Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016 This paper is aimed at providing three versions to solve and characterize weak solutions for Dirichlet problems involving the p‐Laplacian and the p‐pseudo‐Laplacian. In this way generalized versions for some results which use Ekeland variational principle, critical points for nondifferentiable functionals, and Ghoussoub‐Maurey linear principle have ...
Irina Meghea, Khalil Ezzinbi
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Applied General Topology, 2019 A ballean (or coarse space) is a set endowed with a coarse structure. A ballean X is called normal if any two asymptotically disjoint subsets of X are asymptotically separated.
Igor Protasov
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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 Function Spaces, Volume 2016, Issue 1, 2016., 2016 We give necessary and sufficient conditions for exchange of limits of double‐indexed families, taking values in sets endowed with an abstract structure of convergence, and for preservation of continuity or semicontinuity of the limit family, with respect to filter convergence.
Antonio Boccuto +2 more
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