MATH 432 (Introduction to Topology)
| DESCRIPTION |
This is an introduction to topology for qualified
undergraduates. |
| PREREQUISITES |
MATH 410 |
| TOPICS |
- Metric spaces, topological spaces
- Continuous maps and homeomorphisms
- Connectedness, compactness
(including Heine-Borel, Bolzano-Weierstrass, Ascoli-Arzela theorems),
- Cantor sets
- 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)
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| TEXT |
Text(s)
typically used in this course. |
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