# Topology and Set Theory

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

The slides from the other talks will be available shortly.

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.
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.

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 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.

Mirna Džamonja and Charles Morgan

Last updated on 20th October 1999