**Course outline:** This course is an introduction
to homotopy theory, which starts right at the beginning.
The choice of topics and the pace will depend
on the participants. We will cover the standard material, such
as fibrations, cofibre sequences, Whitehead theorems, the
Freudenthal suspension theorem, classifying spaces, etc., and will
end up talking about the Serre spectral sequence which
will allow us to do some computations of the homotopy groups of spheres.
An effort has been made to organize the material in a way
which emphasizes the geometrical ideas behind the results,
rather than the most efficient proofs or the most generality.

The course begins on September 12.

**Instructor:**Dan Christensen**E-mail:**jdc@uwo.ca**Office:**Middlesex 103b.**Office Phone:**661-2111 x86530.**Office Hours:**to be determined.**Class times and location:**Mondays 2-3, Wednesdays 3-4, Fridays 2-3 in MC108.**Prerequisites:**Algebraic topology (Math 414b) or permission of instructor.

**Text:** There is no text for the course, but
there is a list of books you may like
to refer to: dvi, ps,
or pdf.
A few of these will be available at the bookstore, and most will
be on reserve in the library.
You are not required to buy any books for this course.

[This paragraph updated Nov 2003.]
Alan Hatcher has a nice
book
on algebraic topology which also includes much of the homotopy
theory we will cover.
And the first chapter of his
book
on spectral sequences treats the Serre spectral sequence, which
will be the last topic of our course.
Both of these books can be **freely downloaded and printed**,
or can be purchased in bound form.

**Presentations:** In the second half of the semester,
each student will give two presentations on topics related to the
course. The scheduling will be worked out later.

**Evaluation:** Homework will be due roughly every
two weeks. Evaluation will be based upon homework
and the presentations. There will be no tests.