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

 

The fixed point property for continua approximated from within by Peano continua with this property


Author: Akira Tominaga
Journal: Proc. Amer. Math. Soc. 91 (1984), 444-448
MSC: Primary 54F20; Secondary 54H25
MathSciNet review: 744646
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Abstract: Let $ X$ be a continuum that is approximated from within by Peano subcontinua with the fixed point property (FPP). Then we show a sufficient condition that $ X$ has FPP. As a consequence we have that the Cartesian product of $ n$ Warsaw circles is a $ {T^n}$-like continuum with FPP and the $ n$-fold suspension of Warsaw circle is an $ {S^n}$-like continuum with FPP.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0744646-0
PII: S 0002-9939(1984)0744646-0
Keywords: Fixed point property, continuum, Warsaw circle
Article copyright: © Copyright 1984 American Mathematical Society