Mathematical Sciences: Set Theory
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
This project deals with various aspects of set theory.  These              include:  (i) the study of the structure of definable sets of reals             and the role of strong hypotheses like the axiom of definable                   determinacy and the existence of large cardinals, as well as their              mutal interrelationships, (ii) problems in combinatorial set theory             and forcing and (iii) applications of set theoretic ideas and                   techniques to analysis.  Three investigators will be involved:  A.S.            Kechris, W.H. Woodin,                                                           B. Velickovic, as well as several students.
[{'FirstName': 'Alexander', 'LastName': 'Kechris', 'PI_MID_INIT': 'S', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Alexander S Kechris', 'EmailAddress': 'kechris@caltech.edu', 'NSF_ID': '000438774', 'StartDate': '02/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'William', 'LastName': 'Woodin', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'William H Woodin', 'EmailAddress': 'woodin@math.harvard.edu', 'NSF_ID': '000421736', 'StartDate': '02/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'California Institute of Technology', 'CityName': 'PASADENA', 'ZipCode': '911250001', 'PhoneNumber': '6263956219', 'StreetAddress': '1200 E CALIFORNIA BLVD', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '28', 'CONGRESS_DISTRICT_ORG': 'CA28', 'ORG_UEI_NUM': 'U2JMKHNS5TG4', 'ORG_LGL_BUS_NAME': 'CALIFORNIA INSTITUTE OF TECHNOLOGY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1268', 'Text': 'FOUNDATIONS'}
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