Results 1 to 10 of about 181 (133)
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
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
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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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 bornological semi-abelian algebras [PDF]
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]
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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On asymorphisms of finitary coarse spaces
We characterize finitary coarse spaces X such that every permutation of X is an asymorphism.
I. V. Protasov
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Injectivity results for coarse homology theories
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]
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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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

