Tel Aviv University
 
Hello everyone,
 
The next colloquium talk will be held on Monday, 4/6/2012, 12:15, Schreiber
006, Tel Aviv University. The speaker is
 
     Assaf Rinot (Fields Institute and the University of Toronto)
 
and the title of his talk is
 
     Strong colorings: the study of the failure of generalized Ramsey
     theorems
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloqiua, see
 <http://www.math.tau.ac.il/~klartagb/colloq_2011.html>
You are all welcome to suggest colloquium speakers for the last week of the
semester.
 
Yours,
Bo'az
 
--------------
 
Abstract:  A strong coloring from X to Y is a function that transforms
relatively thin subsets of X into relatively fat subsets of Y. The first
example of a strong coloring is due to Sierpinski (1933), who constructed a
function from R^2 into {0,1} with the (anti-Ramsey) property that the image
of any uncountable square A^2 equals {0,1}. At the Mid 1960's, Erdos and his
collaborators, utilized the Continuum Hypothesis to construct a function
from R^2 into R with the remarkable property that the image of any
uncountable square A^2 equals R. Ever since, the study of strong colorings
has focused on constructing colorings for various sets without the aid of
any additional set theoretic axioms.
 
In this talk, we shall survey the history of the theory of strong colorings,
their interaction with the L-Space and S-Space problems, and report on our
recent contributions to the theory.
 
This is joint work with Stevo Todorcevic.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <klartagb@post.tau.ac.il>