MTG 6347, Topology 2

Time and Location

M,W,F Period 6 (12:50 PM – 1:40 PM), Little Hall 225

Description and Goals

This course is an introduction to algebraic topology and applied algebraic topology. We will study singular, axiomatic, and cellular homology and cohomology, and their algebraic structure and dualities.

It is a continuation of MTG 6346, Topology 1.

Course Syllabus

link to pdf

Textbooks

There are several good textbooks that could be used for this course.

  • Tammo tom Dieck. Algebraic Topology. European Mathematical Society, 2008. ISBN: 978-3037190487.

  • Allen Hatcher. Algebraic Topology. Cambridge University Press, 2002. ISBN 0-521-79540-0.

  • Glen E. Bredon. Topology and Geometry. Springer, 1993. ISBN 0-387-97926-3.
  • Anatoly Fomenko and Dmitry Fuchs. Homotopical Topology, 2nd edn. Springer, 2016. ISBN 978-3-319-23487-8.
  • James R. Munkres. Elements of Algebraic Topology. Perseus Publishing, 1984. ISBN0-201-62728-0.