Results 41 to 50 of about 507 (79)

On the sheafyness property of spectra of Banach rings

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract Let R$R$ be a non‐Archimedean Banach ring, satisfying some mild technical hypothesis that we will specify later on. We prove that it is possible to associate to R$R$ a homotopical Huber spectrum Spah(R)${\rm Spa\,}^h(R)$ via the introduction of the notion of derived rational localization.
Federico Bambozzi, Kobi Kremnizer
wiley   +1 more source

Mazur spaces

International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 1, Page 39-53, 1981., 1981
A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the weak * dual of a locally convex space. This leads to a new classification of compact T2 spaces H, those
Albert Wilansky
wiley   +1 more source

A New Approach to Mappings in L,M-Fuzzy Bornological Spaces

Journal of Mathematics
In this paper, the definitions of bounded mappings, bounded perverse mappings, and coarse mappings between L,M-fuzzy bornological spaces are proposed. The properties and relationships of them are studied. Moreover, the relationships among bounded mapping,
Fei Li, Hongtao Liu, Weilin Lu
doaj   +1 more source

Mackey-complete spaces and power series -- A topological model of Differential Linear Logic [PDF]

, 2015
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
core   +2 more sources

Dagger Geometry As Banach Algebraic Geometry

, 2015
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
core   +1 more source

The Convenient Setting for Denjoy--Carleman Differentiable Mappings of Beurling and Roumieu Type

, 2015
We prove in a uniform way that all Denjoy--Carleman differentiable function classes of Beurling type $C^{(M)}$ and of Roumieu type $C^{\{M\}}$, admit a convenient setting if the weight sequence $M=(M_k)$ is log-convex and of moderate growth: For ...
Kriegl, Andreas, Michor, Peter W., Rainer, Armin   +2 more
core   +1 more source

Generalizations of bornological convergence and convergence of partial maps via ideal

, 2020
In this paper using the notion of an ideal I on a directed set, we extend the notion of convergence of nets of partial maps to the notions of I-convergence ( or filter convergence) of nets of partial maps and I*- convergence of nets of partial maps.
Malik, Prasanta, Ghosh, Argha
openaire   +2 more sources

On a class of translation-invariant spaces of quasianalytic ultradistributions [PDF]

, 2015
A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and studied. They are Banach modules over a Beurling algebra. Based on this class of Banach spaces, we define corresponding test function spaces $\mathcal{D}^
Dimovski, Pavel, Prangoski, Bojan, Vindas, Jasson   +2 more
core   +1 more source

Algebraic Structure of Classical Field Theory: Kinematics and Linearized Dynamics for Real Scalar Fields

, 2019
We describe the elements of a novel structural approach to classical field theory, inspired by recent developments in perturbative algebraic quantum field theory.
Brunetti, Romeo, Fredenhagen, Klaus, Ribeiro, Pedro Lauridsen   +2 more
core   +1 more source

Bornoligies, Topological Games and Function Spaces [PDF]

, 2014
In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi \cite{beer-levi:09}.
Artur, H. Tomita, Jiling Cao
core