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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| − | + | ==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.
