Much of analysis is based on metric spaces, but there are also very important topological spaces that are not metrizable -- that is, there is no metric that generates the same topology. The purpose of this project was to study weak topologies with the goal of understanding why such topologies are, in general, not metrizable and how they can be made metrizable with as little alteration as possible. We showed that by restricting to particular sets, certain weak topologies are metrizable.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Srinivasan, Ravi
• Lauser, Benjamin John

Publisher

• Worcester Polytechnic Institute

Identifier

• 04D180M

Advisor

• Larsen, Christopher J.

Year

• 2004

Date created

• 2004-01-01

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright