Difference between revisions of "Math 651: Topology 1"

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(Description)
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=== Description ===
 
=== 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.
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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 ==
 
== Desired Learning Outcomes ==

Revision as of 11:01, 21 October 2010

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