Difference between revisions of "Math 651: Topology 1"
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=== Description === | === Description === | ||
| − | Advanced topics in topology. Topics may include, but are not limited to, piecewise linear topology, 3-manifold theory, homotopy theory, differential topology, Riemannian geometry | + | 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 == | == Desired Learning Outcomes == | ||
Revision as of 09:30, 21 October 2010
Contents
Catalog Information
Title
Topology 1.
Credit Hours
3
Prerequisite
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):
