Results 31 to 40 of about 972 (114)
Cyclic homology for bornological coarse spaces [PDF]
Journal of Homotopy and Related Structures, 2020 AbstractThe goal of the paper is to define Hochschild and cyclic homology for bornological coarse spaces, i.e., lax symmetric monoidal functors $${{\,\mathrm{\mathcal {X}HH}\,}}_{}^G$$ X HH G and $${{\,\mathrm{\mathcal {X}HC}\,}}_{}^G$$ X HC G from the category $$G\mathbf {BornCoarse}$$ G BornCoarse of equivariant bornological ...
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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
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International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 51-54, 1990., 1988 An inductive limit E = indlim En is ultraregular if it is regular and each set B ⊂ En, which is bounded in E, is also bounded in En. A necessary and sufficient condition for ultraregularity of E is given provided each En is an LF‐space which is closed in En+1.
Jan Kucera
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On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
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The Mackey convergence condition for spaces with webs
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 473-483, 1988., 1988 If each sequence converging to 0 in a locally convex space is also Mackey convergent to 0, that space is said to satisfy the Mackey convergence condition. The problem of characterizing those locally convex spaces with this property is still open.
Thomas E. Gilsdorf
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Combable groups have group cohomology of polynomial growth
, 2018 Group cohomology of polynomial growth is defined for any finitely generated discrete group, using cochains that have polynomial growth with respect to the word length function.
Allcock +13 more
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Applications of bornological covering properties in metric spaces [PDF]
Indagationes Mathematicae, 2020 Using the idea of strong uniform convergence on bornology, Caserta, Di Maio and Ko inac studied open covers and selection principles in the realm of metric spaces (associated with a bornology) and function spaces (w.r.t. the topology of strong uniform convergence).
Chandra, Debraj +2 more
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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
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A note on the inverse function theorem of Nash and Moser
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 2, Page 361-364, 1986., 1986 The Nash‐Moser inverse function theorem is proved for different kind of differentiabilities.
Mikael Lindstrom
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Functional analysis on two-dimensional local fields
, 2013 We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-
Camara, Alberto
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