Whitney levels in $C_ p(X)$ are ARs
Author:
Mark Lynch
Journal:
Proc. Amer. Math. Soc. 97 (1986), 748-750
MSC:
Primary 54B20; Secondary 54C55, 54C56, 54F45
DOI:
https://doi.org/10.1090/S0002-9939-1986-0846000-1
MathSciNet review:
846000
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Abstract | References | Similar Articles | Additional Information
Abstract: For $X$ a metric continuum, and $p \in X$, we show that the Whitney levels in the relative hyperspace ${C_p}(X) = \{ K \in C(X)|p \in K\}$ are absolute retracts.
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Additional Information
Keywords:
Absolute retract,
hyperspace of subcontinua,
Whitney level
Article copyright:
© Copyright 1986
American Mathematical Society