MATH 821. Algebraic Topology I. 3 Hours.

The fundamental group and covering spaces (including classification); compact surfaces; homology theory, computations (including homotopy invariance) and applications (including Brouwer fixed point theorem); introduction to cohomology theory. Prerequisite: MATH 790 and MATH 791 and MATH 820, or permission of instructor. LEC.

Doctor of Philosophy in Mathematics

http://catalog.ku.edu/liberal-arts-sciences/math/phd/

...3 MATH 830 Abstract Algebra 3 MATH 820 Introduction to Topology 3 or MATH 821...

Master of Science in Physics

http://catalog.ku.edu/liberal-arts-sciences/physics-astronomy/ms-physics/

...Applications) MATH 596 Special Topics: _____ MATH 696...Physical Sciences 3 PHSX 821 Classical Mechanics 3...