Fixed points arising only in the growth of first countable spaces
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- by Stephen Watson PDF
- Proc. Amer. Math. Soc. 122 (1994), 613-617 Request permission
Abstract:
We construct a Tychonoff first countable space X and an autohomeomorphism f with no fixed points (either a translation or a reflection) such that $\beta f$ does have a fixed point answering a question of Krawczyk and Steprāns. We do this by replacing each point of Mrowka’s construction of a first countable space whose growth has size one with a copy of the integers which can be translated.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 613-617
- MSC: Primary 54D35; Secondary 54C20, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1994-1284460-X
- MathSciNet review: 1284460