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- W2026274310 abstract "For a (metric) continuum $Z$, let ${2^Z}$ (resp., $C(Z)$) denote the space of all nonempty compacta (resp., continua) in $Z$ with the Hausdorff metric. We prove: (1) If $f$ is a monotone map of a continuum $X$ onto a Peano continuum $Y$, then, for any maps $g:{2^X} to {2^Y}$ and $h:C(X) to C(Y)$, there is $A in {2^X}$ and $B in C(X)$ such that $f(A) = g(A)$ and $f(B) = h(B)$. We use (1) to prove: (2) If $X$ is an inverse limit of dendrites with quasi-monotone bonding maps, then ${2^X}$ and $C(X)$ have the fixed point property. Thus, we have a proof that for certain indecomposable continua $X,{2^X}$ has the fixed point property." @default.
- W2026274310 created "2016-06-24" @default.
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- W2026274310 date "1987-04-01" @default.
- W2026274310 modified "2023-10-18" @default.
- W2026274310 title "Induced universal maps and some hyperspaces with the fixed point property" @default.
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- W2026274310 doi "https://doi.org/10.1090/s0002-9939-1987-0894449-4" @default.
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