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arXiv · 1408.0211

Low distortion embeddings between $C(K)$ spaces

Antonín Procházka·Luis Sánchez-González
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Abstract

We show that, for each ordinal $\alpha<\omega_1$, the space $C([0,\omega^\alpha])$ does not embed into $C(K)$ with distortion strictly less than $2$ unless $K^{(\alpha)}\neq \emptyset$.

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Antonín Procházka, Luis Sánchez-González. 2014-08-01. Low distortion embeddings between $C(K)$ spaces. https://arxiv.org/abs/1408.0211

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