Department of Mathematics
Texas A & M - Commerce
Student/Faculty Colloquium
Wednesday, October 14, 2009
Binnion 301, 2:00-2:50pm
Charles Dorsett ,
Texas A & M-Commerce
will speak on:
Topologies on a Finite set and the R_0 Separation Axiom
Abstract:
Given a finite set, how many topologies can be defined on the set? the answer
to the question is unresoluved, but some progress has been made toward resolution
of the question. Within this talk some of the known results concerning topologies on
a finite set will be given, including recent results concerning the number of R_0
spaces on a finite set and another check for the total number of topologies on a finite set.