Nagata dimension and Lipschitz extensions into quasi-Banach spaces

Given two metric spaces $\mathcal N \subseteq \mathcal M$ and $0 \lt p\leq 1$, we wish to determine the smallest constant $\mathfrak {t}_p (\mathcal N, \mathcal M)$ such that any Lipschitz map $f: \mathcal N \to Z$ into any $p$-Banach space $Z$ can be ext

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm240416-12-3
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Nagata dimension and Lipschitz extensions into quasi-Banach spaces

Jan Bíma
1 links
Studia Mathematica
Advanced Banach Space Theory
article

Nagata dimension and Lipschitz extensions into quasi-Banach spaces

Jan Bíma
article en

Abstract

Given two metric spaces $\mathcal N \subseteq \mathcal M$ and $0 \lt p\leq 1$, we wish to determine the smallest constant $\mathfrak {t}_p (\mathcal N, \mathcal M)$ such that any Lipschitz map $f: \mathcal N \to Z$ into any $p$-Banach space $Z$ can be ext

Studia MathematicaVol. 282(3)
Charles University (CZ)
Univerzita Karlova v Praze, Grantová Agentura, Univerzita Karlova, Grantová Agentura České Republiky
Openalex Percentile: Top 83%
Advanced Banach Space Theory
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Nagata dimension and Lipschitz extensions into quasi-Banach spaces — Jan Bíma · Studia Mathematica (2025) | TGRS Research Map | TGRS