26 KAM Mathematical Colloquium
Prof. PETER J. CAMERON
LONDON
SUM-FREE SETS
May 28, 1996
Lecture Room S6, Charles University, Malostranske nam. 25,
Praha 1
10:30 AM
Abstract
A set of natural numbers is {\em sum-free\/} if it does not contain the sum
of two of its members. The main theme of the talk is that, from this simple condition, a very rich structure arises; and, if we use different mathematical techniques to ask the question "what does the typical sum-free set look like?",
such as counting, Baire category, Hausdorff dimension, or probability, we can get very different answers. I will also discuss some occurrences of sum-free
sets in Ramsey theory and in highly symmetric graphs.