Connected (topology)
From Maths
Revision as of 14:03, 13 February 2015 by Alec (Talk | contribs) (Created page with " ==Definition== A topological space <math>(X,\mathcal{J})</math> is connected if there is no separation of <math>X</math> ===Separation=== This belongs...")
Definition
A topological space [math](X,\mathcal{J})[/math] is connected if there is no separation of [math]X[/math]
Separation
This belongs on this page because a separation is only useful in this definition.
A separation of [math]X[/math] is a pair of two non-empty open sets [math]U,V[/math] where [math]U\cap V=\emptyset[/math] where [math]U\cup V=X[/math]
