MATH 725 — Topology — Winter 2016
course outline
(printable pdf version).
 Important Information

Important information will be posted here from time to time.
 20160106
 Page created.
 Instructor
 Dr David Casperson
(contact information).
 Texts
 Elements of Mathematics: General Topology
by Nicolas Bourbaki. Springer Verlag. 1989.
 Topology
by Jänich Klaus. Springer Verlag. 1984.
 Counterexamples in Topology
by Lynn Arthur Steen and J. Arthur Seeback, Jr.
Springer Verlag. 1978.
 Grading Scheme

 Links

 Topics

The calendar says:
Topological spaces, Tychonoff Theorem, Tietze extension theorems,
Urysohn lemma, compactification, homotopy theory, fundamental group,
uniform spaces, knot theory.

The course will contain a thorough review of pointset topology, and
then an exploration of what can be added to pointset topology, either
through the combination of topology with other structures, or through
functorial approaches to classification (homotopy, closed twomanifolds,
and so on.
 General


This is a reading course.