On contractible 𝑛-dimensional compacta, non-embeddable into ℝ²ⁿ

Repovš, Dušan; Skopenkov, Arkady

doi:10.1090/S0002-9939-00-05972-4

On contractible $n$-dimensional compacta, non-embeddable into $\mathbb {R}^{2n}$
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by Dušan Repovš and Arkady Skopenkov PDF

Proc. Amer. Math. Soc. 129 (2001), 627-628 Request permission

Abstract:

We present a very short proof of a well-known result, that for each $n$ there exists a contractible $n$-dimensional compactum, non-embeddable into $\mathbb {R}^{2n}$.

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