Editing Discrete space (section)

{{Short description|Type of topological space}}
{{Refimprove|date=March 2011}}
In [[topology]], a '''discrete space''' is a particularly simple example of a [[topological space]] or similar structure, one in which the points form a {{em|discontinuous sequence}}, meaning they are ''[[Isolated point|isolated]]'' from each other in a certain sense. The discrete topology is the [[Comparison of topologies|finest]] topology that can be given on a set. Every subset is [[Open set|open]] in the discrete topology so that in particular, every [[Singleton (mathematics)|singleton subset]] is an [[open set]] in the discrete topology.
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