Results 1 to 10 of about 579 (94)
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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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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Literature Nots on Bornological Set and Bornological Group
Academic Science JournalIn this work, we explain the basic concepts of bornological structures bornological sets and bornological groups, that solve the problems of boundedness for sets and groups. with some examples and fundamental construction for this structure
Anwar Nooruldeen Imran AI-SAIHI +3 more
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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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BORNOLOGICAL COUNTABLE ENLARGEMENTS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2003 AbstractWe show that for a non-flat bornological space there is always a bornological countable enlargement; moreover, when the space is non-flat and ultrabornological the countable enlargement may be chosen to be both bornological and barrelled. It is also shown that countable enlargements for barrelled or bornological spaces are always Mackey ...
Tweddle, Ian, Saxon, S. A.
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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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Ukrainian Mathematical Bulletin, 2019 A bornology $\mathcal{B}$ on a set $X$ is called minmax, if the smallest and largest coarse structures on $X$ compatible with $\mathcal{B}$ coincide. We prove that $\mathcal{B}$ is minmax, if and only if the family $\mathcal B^\sharp=\{p\in\beta X:\{X\setminus B:B\in\mathcal B\}\subset p\}$ consists of ultrafilters which are pairwise non ...
Banakh, Taras, Protasov, Igor
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