# connected component

Two points $x,y$ in a topological space $X$ are said to be in the same if there exists a subspace of $X$ containing $x$ and $y$ which is connected. This relation is an equivalence relation, and the equivalence classes of $X$ under this relation are called the connected components of $X$.

Title connected component ConnectedComponent 2013-03-22 12:00:21 2013-03-22 12:00:21 djao (24) djao (24) 6 djao (24) Definition msc 54D05