Results 31 to 38 of about 118 (38)

Set Convergences via bornology

This paper examines the equivalence between various set convergences, as studied in [7, 13, 22], induced by an arbitrary bornology $\mathcal{S}$ on a metric space $(X,d)$.
Agarwal, Yogesh, Jindal, Varun
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Metrizable uniform spaces

, 2018
Three themes of general topology: quotient spaces; absolute retracts; and inverse limits - are reapproached here in the setting of metrizable uniform spaces, with an eye to applications in geometric and algebraic topology. The results include: 1) If f:
Melikhov, Sergey A.
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Controlled objects in left-exact $\infty$-categories and the Novikov conjecture

, 2019
We associate to every $G$-bornological coarse space $X$ and every left-exact $\infty$-category with $G$-action a left-exact infinity-category of equivariant $X$-controlled objects.
Bunke, Ulrich, Cisinski, Denis-Charles, Kasprowski, Daniel, Winges, Christoph   +3 more
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I*-algebras and their applications [PDF]

, 1979
Alcantara-Bode, Julio Cesar
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Quasicoherent sheaves for dagger analytic geometry

We develop a somewhat elementary theory of quasicoherent sheaves on separated dagger analytic varieties and show that they satisfy descent in the analytic topology. We define compactly supported pushforwards and produce an adjunction $f_!
Soor, Arun
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James Weed: Iowa’s Renaissance Man [PDF]

, 1982
Horton, Loren N
core   +1 more source

Set convergences and uniform convergence of distance functionals on a bornology

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
core  

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Bornological Convergence in Locally Convex Cones

Mediterranean Journal of Mathematics, 2015
La notion de cône (la multiplication y est associative, mais non nécessairement commutative) localement convexe est bien connue comme celle de partie d'un espace vectoriel de même nature. On adapte sur un tel cône une structure bornologique classique, dont les AA. développent toutes les caractérisques. -- On regrettera l'absence d'exemples.
Ayaseh, Davood, Ranjbari, Asghar
openaire   +1 more source