Title

Separability and the Cantor Set

Date

5-26-2016 9:30 AM

End Time

26-5-2016 9:45 AM

Location

MNB 104

Department

Mathematics

Session Chair

Matthew Nabity

Session Title

Mathematics Senior Project Presentations

Faculty Sponsor(s)

Matthew Nabity

Abstract

The Cantor Set is a famous set in point-set topology. There is a wide variety of types of Cantor Sets. However, we will only cover the ternary, or standard Cantor Set. In this talk, we will define and discuss what it means for a set to be separable and prove that the Cantor Set satisfies this definition.

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May 26th, 9:30 AM May 26th, 9:45 AM

Separability and the Cantor Set

MNB 104

The Cantor Set is a famous set in point-set topology. There is a wide variety of types of Cantor Sets. However, we will only cover the ternary, or standard Cantor Set. In this talk, we will define and discuss what it means for a set to be separable and prove that the Cantor Set satisfies this definition.