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MATH 582 Algebraic Topology (4 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

Overview

Mathematics & Statistics (Sci) : 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.

Terms: Winter 2023

Instructors: Przytycki, Piotr (Winter)

  • Prerequisite: MATH 576 or equivalent or permission of instructor.

  • Course to be taught alternate years - Winter Semester

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