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...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Definition

A topological space (X,J) is connected if there is no separation of X

Separation

This belongs on this page because a separation is only useful in this definition.

A separation of X is a pair of two non-empty open sets U,V where UV= where UV=X