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MATH432

Introduction to Topology

Prerequisite: Minimum grade of C- in MATH410. Metric spaces, topological spaces, connectedness, compactness (including Heine-Borel and Bolzano-Weierstrass theorems), Cantor sets, continuous maps and homeomorphisms, fundamental group (homotopy, covering spaces, the fundamental theorem of algebra, Brouwer fixed point theorem), surfaces (e.g., Euler characteristic, the index of a vector field, hairy sphere theorem), elements of combinatorial topology (graphs and trees, planarity, coloring problems).

Fall 2021

6 reviews
Average rating: 4.33

Fall 2020

8 reviews
Average rating: 3.62

Past Semesters

2 reviews
Average rating: 5.00

4 reviews
Average rating: 4.00

19 reviews
Average rating: 2.42

Average GPA: 2.32 between 119 students

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