MATH 582 — Algebraic Topology

CW-complexes, cellular approximation theorem. Homotopy groups, long exact sequence for a fiber bundle. Whitehead theorem. Freudenthal suspension theorem. Singular and cellular homology and cohomology. Hurewicz theorem. Mayer-Vietoris sequence. Universal coefficients theorem. Cup product, Kunneth formula, Poincare duality.

• Credits: 4
• Faculty: Faculty of Science
• Department: Mathematics and Statistics
• Prerequisite: MATH 576 or equivalent or permission of instructor.