Math 6220 Introduction to Topology 2
Semester 2, 2014-15
Course Lecturer:
J.A. Packer, Dept. of Mathematics
Tel: (303) 492-6979
Office: Math 227
Email: packer@colorado.edu
URL: http://spot.colorado.edu/~packer
Course Information:
This course is an introduction to homology and cohomology theory,
which form an essential part of algebraic topology.
We will cover much of Chapters VI through XIII of the textbook, as time permits,
including an introductory motivational section for the algebraic material to follow,
definition of the singular homology groups of a topological space and their basic properties;
ways of calculating the homology groups of a space, including the Mayer-Vietoris exact sequence;
an introduction to CW complexes and their homology; homology with arbitrary coeffieient groups;
the homology of Cartesian product spaces, including the Kunneth theorem; cohomology theory; and
product in homology and cohomology. If time permits we will cover more material from the textbook,
depending on the interests of the students and the instructor.
Course Syllabus: For course syllabus, click here!
Prerequisite:
This course
has as a prerequisite the course Math 6210, which covered
point-set topology, an introduction to fundamental groups, and the theory of
covering spaces. A solid background in algebra is also required.
Course Text:
We will use the text "A Basic Course in Algebraic Topology" by W. Massey, Springer Verlag, 1991.
Assessment:
Lecture Hours and Venue:
MWF, 2 - 3 p.m., ECCR 131
Consultation Hours:
MWF noon - 1 p.m., Math 227, and by appointment.
Homework Assignments (some assignments may require Acrobat Reader to download):
Some famous mathematicians who have worked in topology
:
Back to the home page of Judith A. Packer
Last modified January 12, 2015.