Math W4051: Topology

Fall 2007

Instructor: Ciprian Manolescu

Teaching Assistant: Dmytro Karabash

Time and Place:  11:00 am - 12:15 am, Mondays and Wednesdays, 520 Mathematics Building

Web page:

Prerequisites: Familiarity with doing rigorous mathematical proofs, such as in Math V1208 (Honors Mathematics), Math W4041 (Modern Algebra), or W4061 (Analysis).

Topics to be covered: Metric spaces, continuity, compactness, quotient spaces. The fundamental group. Examples from knot theory and surfaces. Covering spaces.

Textbook: James R. Munkres, Topology, 2nd edition, Prentice Hall, Inc. It is available at the university bookstore. Keep in mind that we will not follow the book very closely, so it is important to attend the lectures or get the notes from another student. Some of the homework problems will be assigned from the book.

Grading: 40% homework, 40% final, 20% midterm.

Help: Help is available if you have trouble with the homework or the lecture material. If you are unable to come to my office hours, go to the Mathematics Help Room (406 Mathematics). This room is always staffed by at least one mathematics professor or graduate student Monday through Friday during business hours. You may drop by whenever the Help Room is open; no appointment is necessary.

Notes for the course, courtesy of Cayenne Boyer: 09/05, 09/10, 09/12, 09/17, 09/19, 09/24, 09/26, 10/01, 10/03, 10/15, 10/17, 10/22, 10/29, 10/31, 11/07, 11/12, 11/14, 11/19, 11/21, 11/26, 11/28, 12/03, 12/05, 12/10.