Mathematical Sciences: Calculus of Funtors and              Pseudo-Isotopy Theory
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{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
The relative pseudoisotopy of any two-connected map of                  spaces will be studied by means of the "calculus of functors," a                general homotopy-theoretic method which was invented by the                     principal investigator primarily for this purpose.  One emphasis                will be on refining this calculus.  Another will be on the                      general problem of computing the relative algebraic K-theory of a               nilpotent or connected ideal in terms of some sort of cyclic                    homology or S1-equivariant homotopy.  Advances in this research                 will have application to subtle geometric questions about                       deformations of geometric spaces known as manifolds, which in                   turn impact research in theoretical physics.
{'FirstName': 'Thomas', 'LastName': 'Goodwillie', 'PI_MID_INIT': 'G', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Thomas G Goodwillie', 'EmailAddress': 'tomg@math.brown.edu', 'NSF_ID': '000116392', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Brown University', 'CityName': 'PROVIDENCE', 'ZipCode': '029129100', 'PhoneNumber': '4018632777', 'StreetAddress': '1 PROSPECT ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Rhode Island', 'StateCode': 'RI', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'RI01', 'ORG_UEI_NUM': 'E3FDXZ6TBHW3', 'ORG_LGL_BUS_NAME': 'BROWN UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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