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Course Descriptions

16:640:541 - Introduction to Algebraic Topology II

Charles Weibel


Hatcher, same as Fall course 640:540




This course will be a continuation of Math 540, and will start where 540 leaves off. The core topics will be: basic homotopy theory, homotopy groups, generalized cohomology theories (especially oriented theories) and stable homotopy theory. To study these, several tools will be introduced: simplicial sets, CW complexes, de Rham cohomology and Poincare duality, universal coefficients for homology and cohomology, Hom and Ext, spectral sequences and/or other topics of interest to the participants such as applied and computational topology.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530