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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fixed points arising only in the growth of first countable spaces


Author: Stephen Watson
Journal: Proc. Amer. Math. Soc. 122 (1994), 613-617
MSC: Primary 54D35; Secondary 54C20, 54H25
MathSciNet review: 1284460
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1284460-X
PII: S 0002-9939(1994)1284460-X
Article copyright: © Copyright 1994 American Mathematical Society