MATH 582. Algebraic Topology.
Credits: 4
Offered by: Mathematics and Statistics (Faculty of Science)
This course is not offered this catalogue year.
Description
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.
- Prerequisite: MATH 576 or equivalent or permission of instructor.
- Course to be taught alternate years - Winter Semester