Overview
Description
General topological spaces, continuity, compact and locally compact spaces, connectedness, path connectedness, product and quotient topologies, countability and separation axioms, metric spaces.
Requirements
Prerequisites
MATH 310
Original catalog text
Prerequisites
Prerequisite(s): MATH 310.
Units
Lecture3
Catalog Details
Offering
Offered: Every Spring
Terms
spring
Attributes
Standard
Learning Outcomes
- demonstrate an understanding of topological spaces and continuous functions through proofs and examples.?
- analyze topological properties such as compactness, connectedness and path-connectedness, and prove their consequences including the Extreme Value and Intermediate Value Theorem from Calculus.?
- analyze continuity or discontinuity of functions defined on a quotient space.