Results 1 to 10 of about 972 (114)
Some remarks about Mackey convergence
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we examine Mackey convergence with respect to K-convergence and bornological (Hausdorff locally convex) spaces. In particular, we prove that: Mackey convergence and local completeness imply property K; there are spaces having K- convergent
Józef Burzyk, Thomas E. Gilsdorf
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Homotopy theory with bornological coarse spaces [PDF]
, 2020 We propose an axiomatic characterization of coarse homology theories defined on the category of bornological coarse spaces. We construct a category of motivic coarse spectra.
Bunke, Ulrich, Engel, Alexander
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Closed graph theorems for bornological spaces
, 2015 The aim of this paper is that of discussing Closed Graph Theorems for bornological vector spaces in a way which is accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over $\mathbb{R}$ and $\mathbb{C}$ to
Bambozzi, Federico
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مجلة جامعة الانبار للعلوم الصرفة, 2023 The concept of bounded set within this set or space is given by many authors. A bornology is defined on soft set to solve the problems of boundedness for the soft set.
Anwar Imran +3 more
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Academic Science Journal, 2023 The aim of this work is to construct a new structure which is called fuzzy group bornology to solve the problem of bounded for fuzzy group. Furthermore, we explain that the intersection of collections of fuzzy bornological groups is a fuzzy ...
Amal O. Elewi, Anwar N. Imran
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Baire-Type Properties in Metrizable c0(Ω, X)
Axioms, 2021 Ferrando and Lüdkovsky proved that for a non-empty set Ω and a normed space X, the normed space c0(Ω,X) is barrelled, ultrabornological, or unordered Baire-like if and only if X is, respectively, barrelled, ultrabornological, or unordered Baire-like ...
Salvador López-Alfonso +2 more
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Homotopy invariance through small stabilizations [PDF]
, 2013 We associate an algebra $\Gami(\fA)$ to each bornological algebra $\fA$. The algebra $\Gami(\fA)$ contains a two-sided ideal $I_{S(\fA)}$ for each symmetric ideal $S\triqui\elli$ of bounded sequences of complex numbers.
Abadie, Beatriz, Cortiñas, Guillermo
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Chern character for totally disconnected groups [PDF]
, 2009 In this paper we construct a bivariant Chern character for the equivariant $ KK $-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
Voigt, C.
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Mathematische Zeitschrift, 1996 Semi-bornological spaces are defined to be locally convex spaces having the Mackey property and for which sequential continuity of linear functionals is equivalent to continuity. Weakly semi-bornological spaces are obtained by relaxing the Mackey requirement.
SCHAEFER, H.H., Beatty, T.A.
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Uniformizable and realcompact bornological universes [PDF]
, 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.
Vroegrijk, Tom
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