A fixed point theorem for hyperspaces of $\lambda$ connected continua
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- by Charles L. Hagopian PDF
- Proc. Amer. Math. Soc. 53 (1975), 231-234 Request permission
Addendum: Proc. Amer. Math. Soc. 62 (1977), 374-375.
Abstract:
Suppose that the hyperspace of compact connected subsets $\mathcal {C}(X)$ of a $\lambda$ connected continuum $X$ can be $\epsilon$-mapped (for each $\epsilon > 0$) into the plane. We prove that $X$ is either arc-like or circle-like. It follows from this theorem and results of J. T. Rogers, Jr. and J. Segal that $\mathcal {C}(X)$ has the fixed point property.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 231-234
- MSC: Primary 54F20; Secondary 54B20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0377828-5
- MathSciNet review: 0377828