Lecture 14, Tuesday 1999/11/9, 8:00-9:50 AM: proved [a,b] is connected. proved "path connected ==> connected" proved "M connected, A \in M, A is both open and closed relative to M ==> A = empty or M" proved "open + connected ==> path connected" Sketched why Fig3.4-1 is connected but not path-connected. Intoduced (path) connected components. elementary examples and rationals on [0,1].