Results 31 to 40 of about 95 (50)
Let X be a reduced complex-analytic germ of pure dimension n\ge2, with arbitrary singularities (not necessarily normal or complete intersection). Various homology cycles on Link_\ep[X] vanish at different speeds when \ep\to0. We give a condition ensuring
Kerner, Dmitry, Mendes, Rodrigo
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A well-known Hurewicz-type formula for asymptotic-dimension-lowering group homomorphisms, due to A. Dranishnikov and J. Smith, states that if $f:G\to H$ is a group homomorphism, then $\mathrm{asdim} G \leq \mathrm{asdim} H + \mathrm{asdim} (\ker f)$.
Tonić, Vera
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Injectivity of Lipschitz operators
, 2022 Any Lipschitz map $f\colon M \to N$ between metric spaces can be "linearised" in such a way that it becomes a bounded linear operator $\widehat{f}\colon \mathcal F(M) \to \mathcal F(N)$ between the Lipschitz-free spaces over $M$ and $N$.
García-Lirola, Luis +2 more
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Rigidity for geometric ideals in uniform Roe algebras
, 2023 In this paper, we investigate the rigidity problems for geometric ideals in uniform Roe algebras associated to discrete metric spaces of bounded geometry. These ideals were introduced by Chen and Wang, and can be fully characterised in terms of ideals in
Jiang, Baojie, Zhang, Jiawen
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Coarse and bi-Lipschitz embeddability of subspaces of the Gromov-Hausdorff space into Hilbert spaces
In this paper, we discuss the embeddability of subspaces of the Gromov-Hausdorff space, which consists of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance, into Hilbert spaces.
Zava, Nicolò
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Minimal laminations and level sets of 1-harmonic functions
, 2023 We collect several results concerning regularity of minimal laminations, and governing the various modes of convergence for sequences of minimal laminations.
Backus, Aidan
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Regularly oscillating mappings between metric spaces and a theorem of Hardy and Littlewood
This paper is motivated by the classical theorem due to Hardy and Littlewood which concerns analytic mappings on the unit disk and relates the growth of the derivative with the H\"{o}lder continuity.
Markovic, Marijan
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Metric enrichment, finite generation, and the path coreflection [PDF]
summary:We prove a number of results involving categories enriched over CMet, the category of complete metric spaces with possibly infinite distances. The category CPMet of path complete metric spaces is locally $\aleph _1$-presentable, closed monoidal ...
Chirvasitu, Alexandru
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Non-uniformly continuous nearest point maps
We construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any compact and convex subset is continuous but not uniformly continuous.
Medina, Rubén, Quilis, Andrés
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Lipschitz Functions on Unions and Quotients of Metric Spaces
, 2023 Given a finite collection $\{X_i\}_{i\in I}$ of metric spaces, each of which has finite Nagata dimension and Lipschitz free space isomorphic to $L^1$, we prove that their union has Lipschitz free space isomorphic to $L^1$.
Freeman, David M., Gartland, Chris
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