Math 552 - Elementary Geometric and Algebraic Topology
- Prerequisites: Math 551 and 542.
- Frequency: Irregular.
- Student Body: Math majors and graduate students in related areas
- Credits: 3. (N-A)
- Recent Texts: M. A> Armstrong: Basic Topology
- Course Coordinator: Peter Orlik
- 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
Content coverage:
- 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
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