 Meetings:
 in 143 Atgeld Hall, MWF at 11am (sect D1).
 Web address:
 Course information is available online at
http://www.math.uiuc.edu/~jms/m430
 Professor:
 John M. Sullivan,
jms@uiuc.edu,
326 Illini Hall,
2445930 (with answering machine); mailbox in 250 Altgeld.
 Office hours:
 Tentatively, Monday at 2 and Friday at 10.
or by appointment.
 Prerequisites:
 Undergraduate group theory and complex analysis.
 Required Texts:
 Bredon, Topology and Geometry, GTM 139, Springer
 Fulton, Algebraic Topology, GTM 153, Springer
Math 430 covers three areas of algebraic topology:
 DeRham cohomology in the plane
 Path integrals, winding numbers, deRham cohomology, MayerVietoris,
fixed point theorems, Jordan curve theorem. (Fulton, Chap. 16,10)
 Covering spaces and the fundamental group
 Fundamental group, Hurewicz theorem, covering spaces, group actions,
deck transformations, classification and existence of covering spaces,
van Kampen Theorem. (Fulton, Chap. 1117)
 Singular homology
 EilenbergSteenrod axioms, homology and fundamental group of
spheres and tori, fixed point and separation theorems in higher dimensions.
(Bredon, Chap. 4)

