Topological pullback, covering space, and a triad of Quillen

Jack S. Calcut
Department of Mathematics
Oberlin College
Oberlin OH 44074

John D. McCarthy
Department of Mathematics
Michigan State University
E. Lansing, MI 48824-1027

May 14, 2012

We study pullback from a topological viewpoint with emphasis on pullback of covering maps. We generalize a triad of Quillen on properties of the pullback functor.