Mathematical Sciences: Research in Algebraic Topology
{'Code': '03040200', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause'}
This project addresses several problems in algebraic                       topology.  Peterson's first problem involves the cohomology of                  the classifying space of elementary abelian 2-groups, and his                   second problem involves the loop space of the group SU(n).  Kan                 plans to apply the obstruction theory for realizing a diagram in                the homotopy category by means of a diagram of spaces to the                    problem of realizing an unstable algebra over the Steenrod                      algebra as the cohomology of an actual space.  Another of Kan's                 projects is an investigation of the cohomological approach to                   unstable Adams spectral sequences, and a third problem concerns                 the category of simplicial spaces.
{'FirstName': 'Franklin', 'LastName': 'Peterson', 'EmailAddress': None, 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Massachusetts Institute of Technology', 'CityName': 'Cambridge', 'ZipCode': '021394301', 'PhoneNumber': '6172531000', 'StreetAddress': '77 MASSACHUSETTS AVE', 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA'}
{'Code': '1267', 'Text': 'TOPOLOGY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801263.xml'}