Algebraic Topology

3 Units

The fundamental group and covering spaces; van Kampen's theorem. Higher homotopy groups; long-exact sequence of a pair. Homology theory; chain complexes; short and long exact sequences; Mayer-Vietoris sequence. Homology of surfaces and complexes; applications. Prereq: MATH 361 or MATH 461 or MATH 467 . Prereq or Coreq: MATH 308 or MATH 401 .