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arXiv · 2111.05532

Extending homeomorphisms on Cantor cubes

E. Shchepin·V. Valov
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Abstract

We discuss the question of extending homeomorphism between closed subsets of the Cantor discontinuum $D^\tau$. It is established that any homeomorphism $f$ between two closed subsets of $D^\tau$ can be extended to an autohomeomorphism of $D^\tau$ provided $f$ preserves the $\lambda$-interiors of the sets for every cardinal $\lambda$.

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E. Shchepin, V. Valov. 2021-11-10. Extending homeomorphisms on Cantor cubes. https://arxiv.org/abs/2111.05532

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