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From the catalog: set theory, topological spaces, generalized convergence, compactness, metrization, connectedness, uniform spaces, function spaces. Prerequisite: Approval of the instructor.
This is the first semester of a one year course designed to provide a modern introduction to Topology. The entire full-year course is broadly divided into three parts: General Topology, an introduction to Differential Topology, and an introduction to Algebraic Topology.
In General Topology, we cover the basic notions of topological spaces and subspaces and their basic attributes, such as:
In Differential Topology, we cover basic notions in the theory of differentiable manifolds:
In Algebraic Topology, we cover basic notions by discussing:
In this first semester, we should cover all of the General Topology and some of the Differential Topology.
Jon Pitts
Office: MILN 312
E-mail: j-pitts@REMOVECAPStamu.edu
URL: http://www.math.tamu.edu/~jon.pitts/
Class meets MWF 3:00-3:50 in BLOC 164.
Office hours are (tentatively) MW 1:50-2:40 and by appointment.
Students with disabilities can get assistance from the Office of
Services for Students with Disabilities (845-1637).
Topology and Geometry by Glen E. Bredon, Graduate Texts in Geomery 139, Springer Verlag, 1993.
Semester grades will be determined on the basis of classwork (including both homework and class participation), (at least one) major examination, and a final exam, all equally weighted. Problem sets will be assigned periodically and graded. Class participation, in the form of meaningful questions, answers, proofs, constructions, and discussion, is required.
Course grades will be awarded on the following basis: Course grades will be awarded as follows.
| A - Excellent performance in all aspects of the course. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| B - Satisfactory completion of all course requirements. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| C - Passing. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Makeups are subject to university policy. In accordance with university regulations, make-ups for missed exams and assignments will be allowed only for a university approved excuse in writing. Whenever possible, students should inform the instructor before an work is missed.
The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Disability Services Office, in Room B118 of Cain Hall or call 845-1637.
An Aggie does not lie, cheat, or steal or tolerate those who do. The Honor Council Rules and Procedures are available on the web at http://www.tamu.edu/aggiehonor.
A copy of this information sheet is available in PDF format.
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