Results 1 to 10 of about 246 (128)
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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Representations of bornologies
Applied General Topology, 2022 Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric.
Homeira Pajoohesh
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On cardinalities and compact closures [PDF]
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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On bornological semi-abelian algebras [PDF]
Categories and General Algebraic Structures with Applications, 2021 If $\Bbb T$ is a semi-abelian algebraic theory, we prove that the category ${\rm Born}^{\Bbb T}$ of bornological $\Bbb T$-algebras is homological with semi-direct products.
Francis Borceux, Maria Manuel Clementino
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A useful algebra for functional calculus [PDF]
Mathematica Bohemica, 2019 We show that some unital complex commutative LF-algebra of ${\mathcal{C}}^{(\infty)}$ $\mathbb{N}$-tempered functions on $\mathbb{R}^+$ (M. Hemdaoui, 2017) equipped with its natural convex vector bornology is useful for functional calculus.
Mohammed Hemdaoui
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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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On asymorphisms of finitary coarse spaces
Математичні Студії, 2021 We characterize finitary coarse spaces X such that every permutation of X is an asymorphism.
I. V. Protasov
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Mackey Q-algebras; pp. 40–53 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 Main properties of the topology defined by a bornology on a topological linear space and main properties of Mackey Q-algebras are presented. Relationships of Mackey Q-algebras with other classes of topological algebras are described.
Mati Abel
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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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Extensions defined using bornologies
Applied General Topology, 2013 Many extensions of a space X such that the remainder Y is closed can be constructed as B-extensions, that is, by defining a topology on the disjoint union X [ Y , provided there exists a map, satisfying some conditions, from a basis of Y into the family ...
Alessandro Caterino, M. Cristina Vipera
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