Education:
Thesis: Operations and a problem of Heller, supervised by
Michael Barratt. This thesis was the first thorough sudy of Phantom
maps in topology
Algebraic Topology, and specifically, homotopy theory. The homotopy groups of spheres and related spaces has been central to the understanding the homotopy category. The global structure of the homotopy category is visible in the data when carefully analyzed. In particular, the periodic structure is seen before it's vast implications come to light. Most interesting is the gradual emerging understanding of the similarities and differences between the stable category and the unstable category.
See Math Sci for reviews of some of my papers. MathSci
My 1975 book, homotopy theory:An introduction to algebraic topology, published in the Academic Press Series of Monographs and Texts (# 64), is a unique development in that it develops homotopy theory geometrically, and derives homology and cohomology as a corollary. This is opposite to the traditional view, and leads to characteristic axioms on a fairly large category of spaces.
Activities: I am currently retired
from teaching but continue research in homotopy theory.
Location:
In Chicago: 504 SEO, office
phone: 312-996-4828 leave a message
on the answering machine if I am not available.
fax : 312-996-1491 be sure my name is on the
document.
In France: phone (011) 33 (0)4 6603 3489
By email (either location): brayton@math.uic.edu
Personal Interests: about
me