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Host: London Mathematical Society
Sponsor: London Mathematical Society
Homepage: http://www.ucl.ac.uk/~ucahcjm/stn/stn5.html
Email: charles.morgan@ucl.ac.uk, M.Dzamonja@uea.ac.uk
Organizers: Mirna Dzamonja and Charles Morgan
Description:
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.
Speakers: Chris Good (Birmingham), István Juhász (Renyi Institute of Mathematics, Budapest), Mike Reed (Oxford), Dona Strauss (Hull) , Boban Velickovic (Paris VII)
Files: 2nd.txt
Mail Address:
London Mathematical Society De Morgan House 57-58 Russell Square London WC1
Date received: November 15, 1999
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