MATH department

MATH 190A. Foundations of Topology I (4 units)

Link to catalog page: https://catalog.ucsd.edu/courses/MATH.html#math190a

Description

An introduction to point set topology: topological spaces, subspace topologies, product topologies, quotient topologies, continuous maps and homeomorphisms, metric spaces, connectedness, compactness, basic separation, and countability axioms. Examples. Instructor may choose further topics such as Urysohn’s lemma, Urysohn’s metrization theorem. Formerly MATH 190. Students may not receive credit for MATH 190A and MATH 190. Prerequisites: MATH 31CH or MATH 140A or MATH 142A. Students who have not completed prerequisites may enroll with consent of instructor.

Prerequisite courses

Successor courses

MATH 190A is a prerequisite of the following 2 courses:

• MATH 190B
• MATH 191