TTh 10:15–11:35 in ES-142.
AMAT 540 A & B, or permission of instructor.
The following topics will be covered, with many examples and applications throughout: singular cohomology groups, universal coefficient theorem, cup product, cohomology ring, Künneth theorem, Poicaré duality, de Rham theorem, relation to (stable) homotopy theory, cohomology operations, other cohomology theories.
None—but the following books, which are freely available online and can be purchased for less than $30 each, are both excellent references:
Allen Hatcher, Algebraic Topology,
Cambridge University Press, 2002.
J. Peter May, A Concise Course in Algebraic Topology,
The University of Chicago Press, 1999.
Weekly homework assignments.
Late submissions will not be accepted. Regular attendance is expected, and excessive tardiness may count as absence. We refer to the Graduate Bulletin for the policies on incomplete grades. Of course, students must follow the University’s Standards of Academic Integrity.