MTH 425:Topology in Fall 2000

What is Topology?

Topology is a branch of geometry which arose in the twentieth-century. Topological questions concern the basic structure of objects rather than size or arrangement, concerned with the mathematical study of properties of objects which are preserved through deformations, twistings, and stretchings (NO TEARING). A Circle is topologically equivalent to an Ellipse and a Sphere is equivalent to an Ellipsoid.

Topology has to do with the study of spatial objects such as curves, surfaces, the space we call our universe, the space-time of general relativity, fractals, knots, manifolds (objects with some of the same basic spatial properties as our universe), phase spaces that are encountered in physics (such as the space of hand-positions of a clock), symmetry groups like the collection of ways of rotating a top, etc.

Meeting time and place:


To be announced. Tentatively MWF3


Prerequisite:


MTH 243, Multivariable Calculus


If you are interested in enrolling, please contact dduq0619@postoffice.uri.edu or pakula@math.uri.edu so we can get a count of prospective students.

Fall 2000 schedule of math & physics courses(As of 10 April 2000).