# Difference between revisions of "Peano implies contractible hyperspaces"

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− | + | ==Theorem== | |

− | + | If $(X,\tau)$ is a [[Peano continuum]], then [[Hyperspace of continua|$C(X)$]] and [[Hyperspace of compact subsets|$2^X$]] are [[contractible]]. | |

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− | + | ==Proof== | |

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− | + | ==References== | |

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+ | [[Category:Theorem]] | ||

+ | [[Category:Unproven]] |

## Latest revision as of 12:54, 23 September 2016

## Theorem

If $(X,\tau)$ is a Peano continuum, then $C(X)$ and $2^X$ are contractible.