A rigid space $X$ for which $X\times X$ is homogeneous; an application of infinite-dimensional topology
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- by Jan van Mill PDF
- Proc. Amer. Math. Soc. 83 (1981), 597-600 Request permission
Abstract:
We give an example of a rigid (= no autohomeomorphisms beyond the identity) space $X$ such that $X \times X$ is homogeneous. In fact, $X \times X$ is homeomorphic to the Hilbert cube. This answers a question of A. V. Arhangel’skiĭ.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 597-600
- MSC: Primary 54G15; Secondary 57N20
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627701-2
- MathSciNet review: 627701