Mathematical Sciences: Rational Homotropy Theory
{'Code': '03040200', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause'}
David Anick will continue his research in rational homotopy             theory, both for its intrinsic interest and for its applications                to integral homotopy.  The principal methods will be the use of                 algebraic models for spaces (Quillen, Sullivan, Adams-Hilton);                  loop space decompositions (Hilton-Milnor, Cohen-Moore-                          Neisendorfer, Selick); and Poincare series (Roos-Lofwall, Felix-                Thomas-Halperin).  True applications of such examinations of the                algebraic tools of topology require first, applications of the                  tools to geometric topological problems, and then, applications                 of the results to, for example, theoretical physics.
{'FirstName': 'David', 'LastName': 'Anick', 'EmailAddress': None, 'StartDate': '07/15/1987', '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=1987&All=true', 'xml': '8711536.xml'}