$C(X)$ is not necessarily a retract of $2^{X}$
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- by Jack T. Goodykoontz PDF
- Proc. Amer. Math. Soc. 67 (1977), 177-178 Request permission
Abstract:
Let X be a continuum and ${2^X}(C(X))$ denote the hyperspace of closed subsets (subcontinua) of X. An example is given of a continuum X such that $C(X)$ is not a retract of ${2^X}$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 177-178
- MSC: Primary 54F15; Secondary 54B20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0458377-4
- MathSciNet review: 0458377