Mathematical Sciences: Homotopy Theory With An Emphasis On  Maps Between Classifying Spaces
{'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 projected research involves work in four different areas               of algebraic topology.  First of all, the principal investigator                intends to continue his investigation of maps between classifying               spaces.  Secondly, he intends to apply the methods developed in                 that subject to study the stable Barratt conjecture as formulated               by Fred Cohen.  Thirdly, he intends to extend and perhaps                       simplify recent work of Bokstedt on Hochschild homology and                     algebraic K-theory.  Finally, he intends to investigate the                     relation between certain new primary operations in K-theory which               he has constructed and the work of Kane and Lin on K-theory of                  finite H-spaces.
{'FirstName': 'James', 'LastName': 'McClure', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'James E McClure', 'EmailAddress': 'mcclure@math.purdue.edu', 'NSF_ID': '000310323', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Kentucky Research Foundation', '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}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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