Whitney levels in 𝐶_{𝑝}(𝑋) are ARs

Lynch, Mark

doi:10.1090/S0002-9939-1986-0846000-1

Whitney levels in $C\sb p(X)$ 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: For a metric continuum, and $p \in X$ , we show that the Whitney levels in the relative hyperspace ${C_p}(X) = \{ K \in C(X)\vert p \in K\}$ are absolute retracts.

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