Mathematical Sciences: Topology
{'Code': '03040200', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause'}
This project covers a wide range of topics in algebraic and             geometric topology.  More specifically, the researchers plan to                 study the following:  branched coverings and rational functions;                finiteness and other arithmetic-like properties of certain                      discrete groups; geometric invariants of groups; Steenrod's                     problem in various equivariant contexts, including that of RO(G)-               graded homology; homotopy G-actions; equivariant smoothing and                  triangulation theory; smooth, equivariant Rn-bundles; free                      products and surgery on knots; laminations in 3-manifolds;                      controlled simple homotopy theory; parameter spaces for                         iterations of complex maps.  Such studies are basic to                          understanding the qualitative behavior of many models of physical               or biological or even social systems.  One often wishes to know                 about stability, periodicity, and other qualitative properties of               models as much or more than one wants explicit and detailed                     numerical solutions.  Whenever qualitative behavior is at issue,                topology is sure to be involved at some level.
[{'FirstName': 'Peter', 'LastName': 'Kahn', 'EmailAddress': 'kahn@math.cornell.edu', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Kenneth', 'LastName': 'Brown', 'EmailAddress': 'kbrown@cornell.edu', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
{'Name': 'Cornell University', 'CityName': 'Ithaca', 'ZipCode': '148502820', 'PhoneNumber': '6072555014', 'StreetAddress': '373 Pine Tree Road', 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY'}
{'Code': '1267', 'Text': 'TOPOLOGY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8702070.xml'}