## On fundamental groups of quotient spaces

##### Authors
Calcut, Jack S.
Gompf, Robert E.
McCarthy, John D.
##### Description
In classical covering space theory, a covering map induces an injection of fundamental groups. This paper reveals a dual property for certain quotient maps having connected fibers, with applications to orbit spaces of vector fields and leaf spaces in general.
Comment: 12 pages, 4 figures; added references, keywords, and Remark 1.2; accepted at Topology and its Applications
##### Keywords
Mathematics - General Topology, Mathematics - Dynamical Systems, 54B15, 57M05, 37C10, 55U10