MWF 11:30–12:25 in ES-153.
Permission of instructor. (See the University’s Graduate Bulletin.)
The following topics will be covered, with many examples and applications throughout: metric spaces, continuous maps, topological spaces, compactness, connectedness, separation axioms, countability axioms, Urysohn Lemma and consequences, fundamental group, and covering space theory.
None is required — but the following books are recommended references:
- James R. Munkres, Topology, second edition, Prentice Hall, 2000.
Allen Hatcher, Algebraic Topology, Cambridge University Press, 2002.
Weekly homework assignments, quizzes, midterm and final exams. Late submissions will not be accepted.
You are expected to attend all class meetings. The maximum number of absences permitted to receive credit for this course is 5 (five). Excessive tardiness may count as absence.