Math 651: Topology 1

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Catalog Information

Title

Topology 1.

Credit Hours

3

Prerequisite

Math 553, 554.

Description

Advanced topics in topology in preparation for mathematical research in topology. Math 651 and Math 652 may also be helpful for students studying algebraic geometry or dynamical systems.Topics may include, but are not limited to, piecewise linear topology, 3-manifold theory, homotopy theory, and geometric group theory. The instructor may pick one or more of these topics for emphasis according to the developing interests of the research community. 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