MATH 582. Algebraic Topology.

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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

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