A nonlocally connected continuum $X$ such that $C(X)$ is a retract of $2^{X}$
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- by Jack T. Goodykoontz PDF
- Proc. Amer. Math. Soc. 91 (1984), 319-322 Request permission
Abstract:
Let $X$ be a metric continuum and let ${2^X}\left ( {C\left ( X \right )} \right )$ denote the hyperspace of closed subsets (subcontinua) of $X$. An example is given of a nonlocally connected continuum $X$ such that $C\left ( X \right )$ is a retract of ${2^X}$.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 319-322
- MSC: Primary 54B20; Secondary 54C15, 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740194-2
- MathSciNet review: 740194