ECG 795: Topology Seminar
Spring 2010: 1 credit

The course covers the fundamentals of point-set topology (general topology) and also Algebraic topology.
Prerequisites: Graduate Standing. 1 credit.

Grading	Attendance: 100% Guaranteed Grades: A- ( > 90%); B- ( > 80%); C- ( > 70%);
Lecture Room	TBE B170
Lecture Time	10:00 AM-11:00 AM F
Office Hours	Location: SEB3218 Time: 09:45 A.M. to 01:00 P.M. TR
Textbook	Topology, 2nd Edition by Munkres Prentice Hall; 2 edition (January 7, 2000)	Introduction to Topology by Bert Mendelson Dover Publications; 3 edition (July 1, 1990)
Topics	I. GENERAL TOPOLOGY: Set Theory and Logic Topological Spaces and Continuous Functions Connectedness and Compactness Countability and Separation Axioms The Tychonoff Theorem Metrization Theorems and Paracompactness Complete Metric Spaces and Function Spaces Baire Spaces and Dimension Theory II. ALGEBRAIC TOPOLOGY: The Fundamental Group Separation Theorems in the Plane The Seifert-van Kampen Theorem Classification of Surfaces Classification of Covering Spaces Applications to Group Theory