Mathematical Sciences: Loop Spaces and Classical Homotopy   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}
The principal investigator is studying several related                  areas.  A number of problems are connected to the classical                     distributivity formula obtained from the Hilton-Milnor theorem.                 Problem one here is a reformulation of the strong form of the                   Kervaire invariant, the first step being the analysis of zero                   divisors in Dickson's analogues of the Cayley numbers.  The                     second problem is the analysis of a simpler, stable                             distributivity law.  One direction is a certain stable analogue                 of Barratt's finite exponent conjecture.  In a related project,                 he continues some of his past work on the homology of                           configuration spaces.                                                                   These investigations are mainly attempts to understand and              perfect algebraic techniques.  Specifically, the techniques                     permit calculations concerning qualitative properties of                        geometric manifolds, e.g. connectedness, knottedness, the fixed-                point property, and so forth.
{'FirstName': 'Frederick', 'LastName': 'Cohen', 'PI_MID_INIT': 'R', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Frederick R Cohen', 'EmailAddress': 'cohf@math.rochester.edu', 'NSF_ID': '000300293', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Kentucky', 'CityName': 'LEXINGTON', 'ZipCode': '405260001', 'PhoneNumber': '8592579420', 'StreetAddress': '500 S LIMESTONE', 'StreetAddress2': '109 KINKEAD HALL', 'CountryName': 'United States', 'StateName': 'Kentucky', 'StateCode': 'KY', 'CONGRESSDISTRICT': '06', 'CONGRESS_DISTRICT_ORG': 'KY06', 'ORG_UEI_NUM': 'H1HYA8Z1NTM5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF KENTUCKY RESEARCH FOUNDATION, THE', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1267', 'Text': 'TOPOLOGY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8702608.xml'}