Colloquium Announcement
Department of Mathematics
West Virginia University
for
Thursday, February 19, 1998, at 3:45pm
in 324 Armstrong Hall
(Tea and cookies begin at 3:00 in coffee room.)
Professor Piotr Koszmider
Ohio University, Athens, and Universidade de Sao Paulo, Brasil
Beyond the method of transfinite induction.
Stepping-up infinite constructions.
The talk will be suitable for a general audience.
Students are strongly encouraged to participate.
Abstract
The method of transfinite induction
is used in classical settings when one wants to build
an infinite (uncountable) structure.
But what if the method is useless due to the fact that we
do not know how to handle large initial fragments of the
inductive construction? Then, various, so called, stepping-up tools
can be employed. They are sophisticated set-theoretic structures
which replace the ordinals along which the usual induction is being perfored.
We will tell stories about recent
uses of such techniques in various branches of mathematics.
Discused results will be concerned with uncountable
constructions of topological spaces, Boolean algebras,
Banach spaces etc.
The information on the future (and past) Colloquia can be also found on web at the
address:
http://www.math.wvu.edu/homepages/kcies/colloquium.html