Overview
Description
General topological spaces, continuity, compact and locally compact spaces, connectedness, path connectedness, product and quotient topologies, countability and separation axioms, metric spaces.
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.