University at Albany, College of Arts and Sciences

Department of Mathematics and Statistics

AMAT 540A: Topology I, Fall 2017


Prof. Marco Varisco,,
Office: ES-120C, Office Hours: MWF 10:25–11:20, or by appointment.


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:


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.

Of course, you are expected to follow the University’s Standards of Academic Integrity. We refer to the Graduate Bulletin for the policies on incomplete grades.

This syllabus is subject to change. All official announcements and assignments are given in class, and this web page may not be up to date.
Marco Varisco.