nLab
simply connected space

A simply connected topological space is a 1-connected topological space XX: a connected space whose fundamental group is the trivial group:

π 1(X)={e}\pi_1(X) = \{e\}.

Equivalently: if it is a simply connected object? of the (∞,1)-topos Top.

See n-connected object of an (infinity,1)-topos for more.

Revised on January 16, 2011 07:17:05 by Toby Bartels (173.190.149.57)