Mathematical Sciences: Algebraic Methods in Manifold        Decomposition Theory
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause'}
This research project will focus on closed, continuous                     functions defined on manifolds in which all point preimages are                 closed, connected manifolds of a given dimension.  The emphasis                 will be to analyze the image spaces, to develop conditions                      implying they have nice local behavior (causing them to be, say,                ANR's or, better, generalized manifolds), and finally to assess                 the structure of the possible source domains.  The new research                 tools put to work on this will be algebraic, the most important                 being sheaf theoretic ones.  The drawing together of different                  branches of topology in recent years is strikingly illustrated by               this project.
{'FirstName': 'Robert', 'LastName': 'Daverman', 'EmailAddress': 'daverman@math.utk.edu', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Tennessee Knoxville', 'CityName': 'Knoxville', 'ZipCode': '379163801', 'PhoneNumber': '8659743466', 'StreetAddress': '1331 CIR PARK DR', 'CountryName': 'United States', 'StateName': 'Tennessee', 'StateCode': 'TN'}
{'Code': '1267', 'Text': 'TOPOLOGY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802130.xml'}