Results 11 to 20 of about 246 (128)
Literature Nots on Bornological Set and Bornological Group [PDF]
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 \(\beta\)-differentiability of norms
Journal of Numerical Analysis and Approximation Theory, 2004 In this note we give some characterizations for the differentiability with respect to a bornology of a continuous convex function. The special case of seminorms is treated.
Valeriu Anisiu
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Crossconvergence: A new bounded topological presentation
Applied General TopologyWe present crossconvergence, which commonly generalize bornology, preuniform convergence, orderconvergence, b-uniform filtration and grill-determined prenearness.
Dieter Leseberg, Zohreh Vaziry
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. In this paper we present the parameterized extension of the concept of bornology. In doing so, we introduce the notions of soft bornology and an M-valued soft bornology where the parametrization plays the key role. Furthermore, we introduce boundedness and parameterized degree of boundedness for soft sets in such spaces, respectively. We observe some
Çetkin, VİLDAN
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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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Injectivity results for coarse homology theories
Proceedings 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
Selectors of discrete coarse spaces [PDF]
, 2022 summary:Given a coarse space $(X, \mathcal{E})$ with the bornology $\mathcal B$ of bounded subsets, we extend the coarse structure $\mathcal E$ from $X\times X$ to the natural coarse structure on $(\mathcal B \backslash \lbrace \emptyset\rbrace) \times (\
Protasov, Igor
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Soft Bornological Group Acts on Soft Bornological Set
Iraqi Journal of Science, 2023 In this paper, we introduce the notation of the soft bornological group to solve the problem of boundedness for the soft group. We combine soft set theory with bornology space to produce a new structure which is called soft bornological group. So that both the product and inverse maps are soft bounded. As well as, we study the actions of the
Ashwaq F. Abdal +3 more
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A memo on bornologies and size functions [PDF]
, 2022 We recall the notion of abstract bornology, and connect it with topological spaces and size functions. As a generalization of measures of non-compactness, we show how every size function can be mapped to a maxitive measure.Comment: 5 ...
Poncet, Paul
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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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