Intervals of continua which are Hilbert cubes
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- by Carl Eberhart PDF
- Proc. Amer. Math. Soc. 68 (1978), 220-224 Request permission
Abstract:
If P is a subcontinuum of a metric continuum X, then by the interval of continua $\mathcal {C}(P,X)$ we mean the space of all subcontinua of X which contain P (with the Hausdorff metric). We show that $\mathcal {C}(P,X)$ is often homeomorphic with the Hilbert cube.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 220-224
- MSC: Primary 54F15; Secondary 57N20
- DOI: https://doi.org/10.1090/S0002-9939-1978-0480197-6
- MathSciNet review: 480197