Results 41 to 50 of about 979 (94)
Analytic geometry over F_1 and the Fargues-Fontaine curve
This paper develops a theory of analytic geometry over the field with one element. The approach used is the analytic counter-part of the Toen-Vaquie theory of schemes over F_1, i.e.
Bambozzi, Federico +2 more
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Pointwise bornological vector spaces
Soient \(X\) un espace de Tychonoff, \(\mathcal B\) une famille de sous-ensembles de \(X\) et \(\mathcal C(X)\) l'espace des fonctions réelles continues sur \(X\). Si les éléments de \(\mathcal B\) sont relativement pseudocompacts, la topologie de la convergence uniforme sur les éléments de \(\mathcal B\) est métrisable, et les ensembles bornés forment
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Entire cyclic homology of continuous trace algebras
A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum.
Brodzki +15 more
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Bornological Locally Convex Cones
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept
Davood Ayaseh, Asghar Ranjbari
doaj
Bornological convergences and local proximity spaces
Local proximity spaces were introduced by \textit{S. Leader} in [Math. Ann. 169, 275--281 (1967; Zbl 0144.21702)]; they consist of a set, \(X\), a proximity, \(\delta\), on~\(X\), and a family of subsets, \(\mathcal{B}\), that are deemed to be `bounded'. Their interrelation is such that it mimics the behaviour of the family of compact sets in a locally
DI CONCILIO, Anna, GUADAGNI, CLARA
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Dagger Geometry As Banach Algebraic Geometry
In this article, we apply the approach of relative algebraic geometry towards analytic geometry to the category of bornological and Ind-Banach spaces (non-Archimedean or not).
Bambozzi, Federico, Ben-Bassat, Oren
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On a topological universe of L-bornological spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paseka, Jan +2 more
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Mackey-complete spaces and power series -- A topological model of Differential Linear Logic [PDF]
In this paper, we have described a denotational model of Intuitionist Linear Logic which is also a differential category. Formulas are interpreted as Mackey-complete topological vector space and linear proofs are interpreted by bounded linear functions ...
Kerjean, Marie, Tasson, Christine
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Bornologies, selection principles and function spaces
11 ...
CASERTA, Agata +2 more
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Bornologies and bitopological function spaces
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. The study of function spaces with the strong uniform topology on a bornology was initiated by G. Beer and S.
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