This page gives information about one-day conference on Topology and set theory, the fifth in the series Set theory and its neighbours, which took place on Wednesday, 5th January 2000 at the London Mathematical Society building, De Morgan House, 57-58 Russell Square, London WC1.
The speakers at the meeting were
Topology and set theory
A student of mathematics in the 1930's and before would have been
likely to be presented by a mixture of set theory and topology that
would leave little doubt that the two subjects are connected. While
both subjects have developed on their own since, the connection between
them has never been lost.
Set-theoretic constructions have often been a source of
counter-examples in topology, particularly since the discovery of
independence results in set theory (c.f. Mary-Ellen Rudin's work). For
set theorists on the other hand, questions from topology have served
as an inspiration for the development of various techniques which
found applications within set theory itself (c.f. some of the work of
Stevo Todorcevic). Another important example of the interaction
between set theory and topology is the area of cardinal functions in
topology (c.f. Istvan Juhasz's books on "Cardinal Functions"). More
recent examples of the interaction include the use of pcf-theory, by
Kojman and Shelah, to construct
a Dowker space of size $\aleph_{\omega+1}$,
the use, by Good, of the covering lemma for the
Dodd-Jensen core model to show that if there are no first countable
Dowker space then there is a model of set theory with a measurable
cardinal, and the use of Shelah's D-completeness by
Eisworth, Nyikos and Roitman to obtain various consistency results in
the presence of CH, including the negative answer to an old question
of Ostaszewski, asking if CH implies the existence of an Ostaszewski
space. The conference will aim to present some of the recent examples
of the interaction between the two subjects.
Ergodic theory
and set theory (the fourth meeting in the series), including
slides from the
talks and related preprints.
We hope to keep the meetings fairly relaxed, allowing plenty of
opportunity for informal discussion. We welcome and encourage anyone
to participate. Please do tell anyone about the meeting who you think
may be interested in it. And let us know if you would like to speak or have
ideas for speakers at future meetings. We would be grateful if you could
email us to let us know if you
intend to come, so that we can get a reasonable idea about number
of people likely to attend. Nevertheless you are very welcome simply
to turn up on the day if you make a late decision.
We may have some limited funds to subsidise the travel
expenses of graduate students who would like to attend. Please
contact us for
details. 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. De
Morgan House is in the bottom left (i.e. south-east) corner of Russell
Square, itself in the bottom left hand corner of this map of the
area. The nearest tube
station is Russell Square, but De Morgan House is also only a short
walk from Euston, Euston Square and Goodge Street stations. Last updated on 20th October 1999
The slides from the other talks will be available shortly.
Combinatorics
and set theory (the third meeting in the series), including
slides from the
talks and related preprints.
Finite model
theory and set theory (the second meeting in the series), including
slides from the
talks and related preprints.
Set theory,
analysis and their neighbours (the first meeting in the series),
inlcuding
slides from the talks and related preprints.
