Intro to Topology II
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,
comparison if singular and de Rham cohomology, Poincare duality,
universal coefficients, Hom and Ext, spectral sequences and/or
other topics of interest to the participants such as persistant homology
and other types of applied and computational topology.
Hatcher (again)
Math 540