The fundamental group of a Connected Set is the Quotient Group of the Group of all paths with initial and final points at a given point and the Subgroup of all paths Homotopic to the degenerate path consisting of the point .

The fundamental group of the Circle is the Infinite Cyclic Group. Two fundamental groups having different points are Isomorphic. If the fundamental group consists only of the identity element, then the set is Simply Connected.

© 1996-9

1999-05-26