View source for Topological space

{{Todo|This page is in dire need of an update (was last changed in March 2015, in late Nov 2015 the definition was moved to a subpage, that was it)}}
==[[Topological space/Definition|Definition]]==
{{:Topological space/Definition}}

==Examples==
* Every [[Metric space|metric space]] induces a topology, see [[Topology induced by a metric|the topology induced by a metric space]]
* Given any set {{M|X}} we can always define the following two topologies on it:
*# [[Discrete topology]] - the topology {{M|1=\mathcal{J}=\mathcal{P}(X)}} - where {{M|\mathcal{P}(X)}} denotes the [[Power set|power set]] of {{M|X}}
*# [[Trivial topology]] - the topology {{M|1=\mathcal{J}=\{\emptyset, X\} }}
==See Also==
* [[Topology]]
* [[Topological property theorems]]

==References==
<references/>

{{Definition|Topology}}