View source for Task:Equivalent properties to homeomorphism

==Task==
Fit the following into the main wiki

==Statement==
Let {{Top.|X|J}} and {{Top.|Y|K}} be [[topological spaces]] and let {{M|f:X\rightarrow Y}} be a [[map]]. Then{{rITTMJML}}:
* If {{M|f}} is a [[bijective]] and [[continuous]] map, the following are equivalent:
*# {{M|f}} is a [[homeomorphism]]
*# {{M|f}} is an [[open map]]
*# {{M|f}} is a [[closed map]]
==References==
<references/>
{{Theorem Of|Topology}}