**Math 225C: Algebraic Topology**
## Spring 2016
Lectures:*
*MWF 12 noon - 12:50pm,
Location: MS 5148
Discussion: Th 12 noon - 12:50pm, Location: MS 7608
*Syllabus*
This is the third quarter of a year-long
sequence in geometry and topology.* *
**Instructor:** Ko Honda
**Office:** MS 7901
**Office Hours:** Mon 11-12 noon
**E-mail:** honda at math dot ucla dot
edu.
**Telephone:** 310-825-2143
**URL: ***http://www.math.ucla.edu/~honda*
**TA: **Michael Miller; office hours
Th 1-3pm but "pretty much literally whenever"; *smm**iller
at** **ucla dot edu*
**Topics**
- Homotopy theory: fundamental group,
covering spaces, Van Kampen's theorem.
- Homology theory: singular homology,
simplicial homology, homotopy invariance, relative
homology, excision and Mayer-Vietoris, functoriality,
relationship to the fundamental group, applications.
- Cohomology theory: singular
cohomology, cup products
**Textbook**
Hatcher, *Algebraic Topology*,
Cambridge University Press. Also available for
free at author's website.
**Other references**
Greenberg and Harper, *Algebraic
Topology*.
**Prerequisites**
- Some knowledge of algebra and
point-set topology.
**Homework**
There will be weekly problem sets; see
the class
schedule. Homework is due on Mondays,
although there may be some exceptional weeks. The
problem sets count for a large percentage of your total
grade (approximately 70%). You may work with
others or consult other textbooks, but the homework you
turn in **must be written by
you, in your own words, and you must cite your
sources used and your collaborators!**
**Final
examination**
There will be a
take-home final. This will be approximately 30% of
your final grade.
WARNING: The course syllabus provides a general
plan for the course; deviations may become
necessary.
Last modified: March 28, 2016. |