Math 651: Topology 1

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Catalog Information

Title

Topology 1.

Credit Hours

3

Prerequisite

Math 553, 554.

Description

Math 651 and 652 present advanced topics in topology. Topics are picked according to the developing interests of the research community and may also be helpful for students studying algebraic geometry or dynamical systems.Topics may include, but are not limited to, the topology of low-dimensional manifolds, piecewise linear topology, geometric group theory, and homotopy theory. For research preparation, the student should also consider courses in algebraic topology, differential topology, and Riemannian geometry.

Desired Learning Outcomes

Prerequisites

Minimal learning outcomes

Textbooks

Possible textbooks for this course include (but are not limited to):

Additional topics

Courses for which this course is prerequisite