| EPSRC Reference: |
GR/M71121/01 |
| Title: |
SET THEORY AND SOME PROBLEMS ARISING IN ANALYSIS, COMBINATORICS AND MODEL THEORY |
| Principal Investigator: |
Dzamonja, Professor M |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematics |
| Organisation: |
University of East Anglia |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 September 2000 |
Ends: |
31 August 2001 |
Value (£): |
39,355
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
This proposal centres in set theory and its connection with other fields of mathematics, e.g. model theory and Banach spaces. There has recently been a lot of interest in the subject, and some remarkable results, for example those of Gowers. The proposer has expertise in the subject, and is now proposing to consider some hard open questions. The intended RA is Dr Farah M. Dzamonja and I. Farah come from two different schools of set theory, and collaboration is likely to produce results which would combine the powerful methods of each. The particular problems which interest us are various variants of Maharam Problem, distortability of the Tsirelson's space, universality problem for Benach spaces and uniform Eberlein compacta, and further problems in pure set theory and their connections with model theory. The tools we intend to use are infinite Ramsey theory, forcing and pcf. The proposal is likely to benefit from the presence at UEA of a model theorist, Dr. David Evans.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.uea.ac.uk |