M621 | ALL | Tba

M621-M622 Algebraic Topology I-II (3-3 cr.) P: M522. Basic concepts of homological algebra, universal coefficient theorems for homology and cohomology, Kunneth formula, duality in manifolds. Homotopy theory including Hurewicz and Whitehead theorems, classifying spaces, Postnikov systems, spectral sequences, homotopy groups of spheres. Offered every other year, alternating with M623-M624.