...ing a [[metric]]. Topological spaces are the objects of study in [[general topology]].
=== Standard topology ===
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== Metric topology ==
Every metric space naturally gives rise to a [[topology]]. A subset <math>U\subseteq X</math> is called '''open''' if for every <ma
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| breadcrumb = {{Breadcrumb nav|[[Mathepedia]]|[[Topology]]|[[General topology]]|[[Hausdorff space]]}}
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...V</math>where <math>V\subset \mathbb{R}^n</math> is open with the standard topology on <math>\mathbb{R}^n</math>.
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...ntal [[Topological property|topological properties]] in [[analysis]] and [[topology]].
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[[Category:Topology]]
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[[File:Topology joke.jpg|thumb|250x250px|A homeomorphism that turns a coffee mug into a don
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