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.
Sections Taught This Semester:
For more information on instructors and sections for Fall 2017, please see our Fall 2017 Teaching Schedule Page
For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page