Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 551: Elementary Topology

Frequency: 

Fall/Spring

Student Body: 

Math majors and graduate students in related areas

Background and Goals: 

This is an introduction to the basic ideas and methods of point set topology. It is a good background for analysis courses and graduate topology courses. Normally it is advisable to have at least one previous proof-based course such as Math 341, Math 421, Math 521 or Math 541 before taking Math 551.

Alternatives: 

N/A

Subsequent Courses: 

Math 552.

Course Content: 
  • Elementary Set Theory: Sets, Cartesian products, equivalence relations, countability, the real line
  • Basic Topology: metric spaces, topological spaces, basis, continuity, connectedness, compactness
  • Selected Topics: Product and quotient topologies, manifolds, normality and extension theorems, the fundamental group, covering spaces
credits: 
3. (N-A)
semester: 
FallSpring
prereqs: 
MATH 341 or MATH 375 or (MATH 421 and MATH 320) or (MATH 421 and MATH 340)

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

(608) 263-3054

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