PathComponent 2001-11-17 10:42:18 2002-03-09 03:52:29 Definition \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{graphicx} \usepackage{xypic} Two points $x,y$ in a topological space $X$ are said to be in the same {\em 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 {\em path components} of $X$.