Results 41 to 50 of about 246 (128)
A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley +1 more source
Embeddings of Bornological Universes
Set-Valued Analysis, 2008 A bornological universe \(\left\langle X,\tau,\mathcal B\right\rangle\) is a topological space \(\left\langle X,\tau\right\rangle\) equipped with a bornology \(\mathcal B\), that is, a cover of \(X\) that is hereditary and is closed under finite unions. The author proves that the space \(X\) can be topologically and bornologically embedded in \(\mathbb{
openaire +3 more sources
The Alexandroff property and the preservation of strong uniform continuity
Applied General Topology, 2010 In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role.
Gerald Beer
doaj +1 more source
Certain observations on tightness and topological games in bornology
, 2022 This article is a continuation of our investigations in the function space $C(X)$ with respect to the topology $\tau^s_\mathfrak{B}$ of strong uniform convergence on $\mathfrak{B}$ in line of (Chandra et al. 2020 \cite{dcpdsd} and Das et al.
Chandra, Debraj +2 more
core
Bornological aspects of asymmetric structures
, 2021 A thesis submitted in fulfilment of the requirements for the degree of of Doctor of Philosophy (Mathematics) to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2021Over the last decades much progress has been
Mukonda, Danny
core
Bornologies and bitopological function spaces
, 2013 The aim of this paper is to study certain closure-type properties of function spaces over metric spaces endowed with two topologies: the topology of uniform convergence on a bornology and the topology of strong uniform convergence on a bornology.
Ozcag, SELMA
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Bornological Transformation Group
Journal of Al-Qadisiyah for Computer Science and Mathematics, 2021 In this paper, the researcher recalls the definitions of bornological set & bornological group and gives some examples in detalis. Additionally, the primary goal of this research is to introduce bornological transformation group, which are formulated on bornological group acts on bornological set.
Farah J. Sadiq +2 more
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Set convergences and uniform convergence of distance functionals on a bornology [PDF]
For a metric space $(X,d)$, Beer, Naimpally, and Rodriguez-Lopez in ([17]) proposed a unified approach to explore set convergences via uniform convergence of distance functionals on members of an arbitrary family $\mathcal{S}$ of subsets of $X$.
Agarwal, Yogesh, Jindal, Varun
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Real Functions, Covers and Bornologies
Tatra Mountains Mathematical Publications, 2021 Abstract The paper tries to survey the recent results about relationships between covering properties of a topological space X and the space USC( X ) of upper semicontinuous functions on X with ...
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A drop theorem without vector topology [PDF]
, 2007 Daneš' drop theorem is extended to bornological vector spaces. An immediate application is to establish Ekeland-type variational principle and its equivalence, Caristi fixed point theorem, in bornological vector spaces.
Wong, Chi-Wing, Wong, CW
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