Table of Contents

Planar complexes PL planar maps The Schoenflies theorem Wild 2-spheres The generalized Schoenflies theorem The fundamental group Mapping onto spheres Linking Separation Pulling back feelers Intersections of surfaces with $1$-simplexes Intersections of surfaces with skeleta Side approximation theorem The PL Schoenflies theory for $R^3$ Covering spaces Dehn's lemma Loop theorem Related results AppendiX: Some standard results in topology References Index.