Mathematical Sciences: Decompositions in Dimension Four,    Local Connectivity at Decomposition Spaces, Homogeneity and Generalized Manifolds
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{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
Professor Walsh will continue to investigate cell-like                     decompositions in dimension four with the ultimate goal of                      providing a characterization of four-manifolds comparable to that               available in higher dimensions.  Current focus is on a version of               a disjoint-disks-property that, in spite of its apparent                        simplicity, can be extremely difficult to detect even in                        relatively "simple" examples.  The project includes investigating               the cohomological local connectedness of decomposition spaces                   associated to decompositions consisting of absolute neighborhood                retracts and investigating the local homology of compact finite-                dimensional absolute neighborhood retracts with the goal of                     resolving the conjecture of Bing-Borsuk that homogeneous finite-                dimensional absolute neighborhood retracts are generalized                      manifolds.
{'FirstName': 'John', 'LastName': 'Walsh', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John J Walsh', 'EmailAddress': 'r1417@vmcms.csuohio.edu', 'NSF_ID': '000446611', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '126700', 'Text': 'TOPOLOGY'}
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