# Jerusalem Mathematics Colloquium

Thursday, 7th February 2008, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Boaz Tsaban

(Bar Ilan University)

"Mathematical Selection Rules: past, present, future"

** Abstract: **The mathematical field of Selection Principles deals
with qualitative analysis of diagonalization procedures,
where the diagonalized object carries a mathematical
(topological or other) structure.

This field aims at applications in a variety of
mathematical disciplines, including: Ramsey theory,
game theory, function spaces and convergence, topological
groups, dimension theory, covering properties, combinatorial
set theory, hyperspaces, etc.

The uniform treatment given by Selection Principles to this
variety of fundamental mathematical properties is not only
aesthetically pleasing. It also brought new perspectives,
focused attention on essential parts of classical problems, and
in several cases lead to their solution.

We will illustrate this by several fundamental examples to which
we have contributed in the last few years, and discuss some of
our future plans regarding this fascinating topic.

Light refreshments
will be served in the faculty lounge at 3:30.

List of talks, 2007-08

Archive of talks