Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 552: Elementary Geometric and Algebraic Topology

Frequency: 

Irregular.

Student Body: 

Math majors and graduate students in related areas

Background and Goals: 

This course is an undergraduate introduction to algebraic topology. Emphasis is placed on geometric aspects.

Alternatives: 

N/A

Subsequent Courses: 

N/A

Course Content: 
  • Fundamental group and applications: classification of closed 2-manifolds, elementary homotopy theory, the fundamental group of the circle, covering spaces
  • Simplicial homology: simplexes, triangulation, homology groups, Euler characteristic, simplicial approximation
  • Selected topics: fixed point theorems, singular homology, knot theory, group actions
credits: 
3. (N-A)
semester: 
InFrequent
prereqs: 
Math 551 and 542 or consent of the instructor.

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, Wi  53706

(608) 263-3054

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