Mathematical Sciences: Mod Z and Rational Cohomology of     Finite H-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 investigator will study relations between the mod Z and             rational cohomology of a finite H-space.  New information                       obtained by the investigator about the mod Z cohomology should                  severely restrict the rational cohomology and also the action of                the Steenrod algebra.  The investigator will also study various                 relations between homotopy associativity and homotopy                           commutativity.                                                                          These are significant topics in algebraic topology, a                   discipline which seeks a calculus for treating qualitative                      geometric properties such as connectedness and knottedness.  It                 underlies much important work in other fields, e.g. the analysis                of stability of solutions to differential equations.
{'FirstName': 'James', 'LastName': 'Lin', 'PI_MID_INIT': 'P', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'James P Lin', 'EmailAddress': None, 'NSF_ID': '000443449', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-San Diego', 'CityName': 'LA JOLLA', 'ZipCode': '920930021', 'PhoneNumber': '8585344896', 'StreetAddress': '9500 GILMAN DR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '50', 'CONGRESS_DISTRICT_ORG': 'CA50', 'ORG_UEI_NUM': 'UYTTZT6G9DT1', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, SAN DIEGO', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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