View source for Example:Continuous maps contracting something to a point

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==Example==
{| class="wikitable" border="1" style="float:right;margin:0px;margin-left:0.2em;"
|-
| 
<gallery>
File:ExampleGraphX1.JPG|{{Top.|X|J}}
File:ExampleGraphX2.JPG|{{Top.|Y|K}}
</gallery>
|-
! The spaces in play
|}
Let {{Top.|X|J}} and {{Top.|Y|K}} be [[topological spaces]] which are [[topological subspace|subspaces]] of {{M|\mathbb{R}^2}} as shown on the right. Then we claim:
* there is a [[continuous mapping]], {{M|f:X\rightarrow Y}}, that is also [[surjective]].
==References==
<references/>
{{Example Of|Topology}}