MATH 4530

Introduction to Topology

Course Description

Course information provided by the 2026-2027 Catalog.

Topology may be described briefly as qualitative geometry. This course begins with basic point-set topology, including connectedness, compactness, and metric spaces. Later topics may include the classification of surfaces (such as the Klein bottle and Möbius band), elementary knot theory, or the fundamental group and covering spaces. Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

Prerequisites MATH 2210, MATH 2230, MATH 2310, MATH 2940, or equivalent.

Distribution Requirements (MQL-AG, OPHLS-AG), (SMR-AS)

Last 4 Terms Offered 2025FA, 2024FA, 2023FA, 2022FA

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