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Bornological Soft Sets [PDF]

open access: yesمجلة 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
doaj   +2 more sources

Representations of bornologies

open access: yesApplied 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
doaj   +5 more sources

On cardinalities and compact closures

open access: yesApplied 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
doaj   +3 more sources

Fuzzy Bornological Group

open access: yesAcademic 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
doaj   +3 more sources

On bornological semi-abelian algebras [PDF]

open access: yesCategories 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
doaj   +1 more source

A useful algebra for functional calculus [PDF]

open access: yesMathematica 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
doaj   +1 more source

On asymorphisms of finitary coarse spaces

open access: yesМатематичні Студії, 2021
We characterize finitary coarse spaces X such that every permutation of X is an asymorphism.
I. V. Protasov
doaj   +1 more source

Injectivity results for coarse homology theories

open access: yesProceedings 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
wiley   +1 more source

Mackey Q-algebras; pp. 40–53 [PDF]

open access: yesProceedings 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
doaj   +1 more source

Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations

open access: yesAbstract 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
wiley   +1 more source

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