Overview
Description
Topological spaces, functors, homotopy, the fundamental group, covering spaces, higher homotopy groups, simplicial complexes, homology theories.
Requirements
Prerequisites
MATH 440
Corequisites
MATH 331
Original catalog text
Prerequisites
Prerequisite(s): MATH 440.
Corequisites
Corequisite(s): MATH 331.
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall - Even Years
Terms
fall
Attributes
Standard
Learning Outcomes
- demonstrate understanding of covering spaces for a topological space through proofs and examples.
- use functorial properties of homotopy groups to convert topological problems to algebraic ones, in order to solve them.
- compute or describe the fundamental group of a topological space by applying the Seifert-van Kampen theorem.