path component

Two points $x,y$ in a topological space $X$ are said to be in the same path component if there exists a path from $x$ to $y$ in $X$. The equivalence classes of $X$ under this equivalence relation are called the path components of $X$.

Title path component PathComponent 2013-03-22 12:00:24 2013-03-22 12:00:24 djao (24) djao (24) 6 djao (24) Definition msc 54D05