Set theory, analysis and their neighbours

This web-page gives information about the first one-day conference on Set theory, analysis and their neighbours, which took place on Thursday 17th September 1998 at the new London Mathematical Society building, De Morgan House, 57-58 Russell Square, London WC1. We are grateful to the LMS both for funding to support the meeting and for allowing us to use De Morgan House as a venue. The meeting was the first of what is intended to be a series taking place about three times a year. Click here for information about the second meeting (on 7th January 1999).

There has recently been a confluence of interests in set theory and analysis in a variety of ways. Examples include Gowers' dichotomy theorem in functional analysis, Hjorth's work on turbulence in descriptive dynamics, and Dales and Woodin's work on super-real fields. Our aim is to provide a forum for lectures on wide range of developments in these and similar areas, and to encourage communication and interaction between people working in them and in other related subjects.

The speakers have kindly agreed to let us make available the slides from their talks (or in some cases images of our notes!).

• Garth Dales (Leeds), "Super-real fields"
  • Information about the book Truth in Mathematics edited by Dales and Oliveri
• Mirna Džamonja (UEA), "Universal models"
  
  • The slides from the talk (each about 200k). Individual slides: number
    1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (.jpgfiles, each about 170kb, with a max of 275kb) or the whole talk (about 2.6mb)
    Preprint giving more details:
    
  • On uniform Eberlein compacta and c-algebras (Postscript), (dvi) or (LaTeX)
• Ilijas Farah (currently Rutgers U, formerly at York U, Toronto), "Tsirelson spaces and F_s ideals" (postscript)
  
  Preprints giving more details:
  • Ideals induced by Tsirelson submeasures (Postscript), (dvi) or (LaTeX) (the latter is the source file of previous version)
  • Basis problem for turbulent actions (Postscript), (dvi) or (LaTeX) (the latter is the source file of previous version)
  (Farah was the co-winner of the 1997 Sacks Prize for the best doctoral thesis in mathematical logic.)
• David Fremlin (Essex), "Real-valued-measurable cardinals - open problems"
  • Notes on Fremlin's talk: Page 1, Page 2, Page 3, (.jpgfiles, each about 220kb) or the whole talk (about 650kb)
    
  • see also the ftp-able list of problems or
  • email David Fremlin for a revised version of his 1994 Jerusalem article "Real-valued-measurable cardinals")
• Greg Hjorth (UCLA) "Finite rank torsion free abelian groups" (Postscript), (dvi) or (LaTeX)

Topology and set theory (the fifth meeting in the series),

Ergodic theory and set theory (the fourth meeting in the series), including slides and abstracts from the talks.

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.

Last updated on 15th October 1998