Difference between revisions of "Peano implies contractible hyperspaces"

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<strong>Theorem:</strong> 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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<strong>[[Peano implies contractible hyperspaces|Theorem]]:</strong> 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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<strong>Proof:</strong> █  
 
<strong>Proof:</strong> █  
 
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Revision as of 05:38, 30 December 2015

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

Proof: