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(L,M)-fuzzy bornological spaces
Fuzzy Sets and Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengyu Liang, Fu-Gui Shi, Jinyan Wang
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Boletín de la Sociedad Matemática Mexicana, 2022
The paper contains a very clear presentation on the category \(\mathbf{Bor}\) of bornological spaces and bornological maps. Usually the setting for the study of bornologies has been in the presence of another type of structure such as metrics, topologies or uniformities.
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The paper contains a very clear presentation on the category \(\mathbf{Bor}\) of bornological spaces and bornological maps. Usually the setting for the study of bornologies has been in the presence of another type of structure such as metrics, topologies or uniformities.
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Fuzzifying bornological linear spaces
Journal of Intelligent & Fuzzy Systems, 2022In this paper, a notion of fuzzifying bornological linear spaces is introduced and the necessary and sufficient condition for fuzzifying bornologies to be compatible with linear structure is discussed. The characterizations of convergence and separation in fuzzifying bornological linear spaces are showed.
Jin, Zhen-Yu, Yan, Cong-Hua
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Information Sciences, 2005
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Yan, Cong-hua, Wu, Cong-xin
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Yan, Cong-hua, Wu, Cong-xin
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2020
In this chapter we introduce from scratch the category BornCoarse of bornological coarse spaces. We further provide basic examples for objects and morphisms of BornCoarse and finally we discuss some categorical properties of BornCoarse.
Ulrich Bunke, Alexander Engel
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In this chapter we introduce from scratch the category BornCoarse of bornological coarse spaces. We further provide basic examples for objects and morphisms of BornCoarse and finally we discuss some categorical properties of BornCoarse.
Ulrich Bunke, Alexander Engel
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Bornological spaces of null sequences
Archiv der Mathematik, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dierolf, Susanne, Domański, Paweł
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Mappings between bornological spaces
Topology and its ApplicationsThe paper is concerned with bornological spaces (see, e.g., [\textit{G. Beer}, Bornologies and Lipschitz analysis. Boca Raton, FL: CRC Press/Science Publishers (2023; Zbl 1547.46001)]) and mappings between them. Bornological images, coercive images and bornological coercive images of a bornological space are characterized up to isomorphism.
Beer, Gerald, Pajoohesh, Homeira
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Bornological and Ultrabornological Spaces
1981The concept of a bornological lcs originates from the desire to have linear maps with values in another lcs continuous if they only carry bounded sets into bounded sets. Replacing herein the bounded sets of the domain space by Banach disks leads to the concept of an ultrabornological lcs.
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Cardinal functions, bornologies and function spaces
Annali di Matematica Pura ed Applicata (1923 -), 2013A bornology \(\mathcal{B}\) on a set \(X\) is a family of subsets of \(X\) that is a cover of \(X\) and is closed under taking finite unions and taking subsets. In this paper the authors study topologies of (strong) uniform convergence on bornologies on the space of continuous real-valued functions in the frame of well-known cardinal functions whose ...
Holá, Ľubica, Novotný, Branislav
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