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Journal Articles Mathematica Scandinavica Year : 2017

Low regularity function spaces of N-valued maps are contractible

Abstract

Let $M$ be a compact Lipschitz submanifold, possibly with boundary, of ${\mathbb R}^n$. Let $N\subset {\mathbb R}^k$ be an arbitrary set. Let $s\ge 0$ and $1\le p<\infty$ be such that $sp<1$. Then $W^{s, p}(M ; N)$ is contractible.
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Dates and versions

hal-01202158 , version 1 (21-09-2015)
hal-01202158 , version 2 (02-01-2016)
hal-01202158 , version 3 (03-03-2016)

Identifiers

  • HAL Id : hal-01202158 , version 3

Cite

Petru Mironescu. Low regularity function spaces of N-valued maps are contractible. Mathematica Scandinavica, 2017, 121, pp.144--150. ⟨hal-01202158v3⟩
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