Difference between revisions of "Peano implies contractible hyperspaces"

From hyperspacewiki
Jump to: navigation, search
(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|$C(X)$...")
 
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
<div class="toccolours mw-collapsible mw-collapsed" style="width:800px">
+
==Theorem==
<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]].
+
If $(X,\tau)$ is a [[Peano continuum]], then [[Hyperspace of continua|$C(X)$]] and [[Hyperspace of compact subsets|$2^X$]] are [[contractible]].
<div class="mw-collapsible-content">
+
 
<strong>Proof:</strong> █
+
==Proof==
</div>
+
 
</div>
+
==References==
 +
 
 +
[[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.

Proof

References