The eleventh one-day
conference in the in the series Set theory and its neighbours,
took place on
Wednesday, 3rd April 2002 at
the London
Mathematical Society building, De Morgan House, 57-58 Russell
Square, London WC1.
The speakers at the meeting were:
We are very grateful to the LMS for allowing us to use De Morgan
House as a venue and for their financial support for the meeting.
Forbidden distances in the rationals and the reals
Abstract: We show that the reals may be partitioned
into finitely many classes, each of which has `few' distances in a
certain natural sense. Although the construction appears to use CH
in an indispensible way, it turns out that the result remains true
without CH.
Some step-ups and a few gentle stretching exercises
Abstract: I discuss generic stepping up problems and
techniques, with particular emphasis on the new notions of
local connectedness functions and
-M-proper forcing
for arbitrary uncountable cardinals
.
I give some applications of these ideas to pcf theory,
Lindelof spaces, and strong chains in
P().
Square principles on P_\kappa(\lambda)
Elementary submodels in the partition calculus
Abstract: We prove some new and old results in the
partition calculus which make use of the choice of elementary
submodels of (a part of) the set theoretic universe. These ideas replace
the older ramification arguments and are essential to further progress.
We explain all of the set theoretic notions involved.
Return to the Set theory and its neighbours homepage for information, including slides from the talks and related preprints, about the previous meetings.
Last updated on 4th April 2002, Charles Morgan