On homogeneity of Cantor cubes
Open Access
- 28 February 2023
- journal article
- research article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 66 (4) , 1084-1090
Abstract
We discuss the question of extending homeomorphisms between closed subsets of the Cantor cube $D^{\tau }$ . It is established that any homeomorphism between two closed negligible subsets of $D^{\tau }$ can be extended to an autohomeomorphism of $D^{\tau }$ .
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