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

Tominaga, Akira

doi:10.1090/S0002-9939-1984-0744646-0

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

Proc. Amer. Math. Soc. 91 (1984), 444-448

DOI: https://doi.org/10.1090/S0002-9939-1984-0744646-0

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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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