Instructor
Prof. Marco Varisco,
[email protected],
www.albany.edu/~mv312143/
Office: ES-120C,
Office Hours: MWF 9:10–10:15, or by appointment.
Schedule
MWF 10:25–11:20 in ES-153.
Prerequisites
Permission of instructor. (See the University’s Graduate Bulletin.)
Description
From Wikipedia: Topology (from the Greek τόπος, “place”, and λόγος, “study”) is the mathematical study of shapes and spaces. It is a major area of mathematics concerned with the most basic properties of space, such as connectedness, continuity and boundary. It is the study of properties that are preserved under continuous deformations including stretching and bending, but not tearing or gluing. […] Topology developed as a field of study out of geometry and set theory, through analysis of such concepts as space, dimension, and transformation. Ideas that are now classified as topological were expressed as early as 1736. Toward the end of the 19th century, a distinct discipline developed, referred to in Latin as the geometria situs (“geometry of place”) or analysis situs (Greek-Latin for “picking apart of place”). This later acquired the name topology. By the middle of the 20th century, topology had become an important area of study within mathematics.
Textbook
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.
math.cornell.edu/~hatcher/AT/ATpage.html
Grading
Weekly homework assignments, quizzes, midterm and final exams.
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.