Review of general topology, quotient spaces, scissors and glue constructions. Basics on homotopy and topological manifolds. The fundamental group. Compact surfaces. Introduction to homology. Selected applications to covering spaces, homotopy theory, general manifolds, knots, differential equation, combinatorial group theory. Prereq: PMATH 351 or 367; Not open to General Mathematics students. Coreq: PMATH 346 or PMATH 347
