Time: 1-2pm
Place: 807 Old Chem
Title: Buy One Get One Free Scheme
Abstract:
We can measure the "size" of an infinite sequence of positive integers
using various densities. In the talk, I will present a general scheme
that for every theorem about Shnirel'man density or lower asymptotic
density one can get a new theorem about upper Banach density for free
even though the upper Banach density seems to be very different from
Shnirel'man density or lower asymptotic density. The scheme uses
nonstandard model of Peano Arithmetic in model theory to establish the
connection between these densities.