Difference between revisions of "Peano implies contractible hyperspaces"
(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> If $(X,\tau)$ is a Peano continuum, then Hyperspace of continua|$C(X)$...") |
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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]]. | + | <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: █
