110.615 Algebraic Topology --- Fall 2008


This page last modified 1 AUG 2008 by JMB
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This is the first half of the standard full-year introductory graduate course on algebraic topology. Beware the description given in the course listing - that covers both semesters (and more).
The text for this course is:

Algebraic Topology by Allen Hatcher (more below).
The general plan is to cover the following parts of the book: However, there is some flexibility as to just which topics will be covered, and this list is only a starting point.

LECTURES The time is being CHANGED to

Tuesdays and Thursdays, 12:00-1:15, room Krieger 204.

Reading Assignments There will be regular reading assignments for the course.
Bring the book to class, so we can work from it directly.

There will be course handouts to amplify and supplement selected topics that are treated only briefly in the book.

Homework There will be regular homework assignments.
Discussion of homework problems with others is allowed, and indeed encouraged; but what you turn in should be your own work, in your own words.

There will be no written examination for the course. However, the course is intended to serve as useful preparation for the Qualifying Examination in Algebraic Topology.

As noted above, the text for the whole year is: Algebraic Topology by Allen Hatcher, published in 2002 by Cambridge University Press.
You can also get the full text on-line directly from the author, with errata too, if you wish. (Older editions have quite a few errata.)
Another book worth noting is E. H. Spanier - Algebraic Topology; this is encyclopedic, but it can be hard to find one's way around in it. Nevertheless, it is valuable as a reference because it contains much material that you won't find anywhere else, and is highly recommended for anyone planning to go further in algebraic topology.

The professor is J. Michael Boardman.

photo of Boardman

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