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John Bryant's Faculty Page


John Bryant
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Emeritus Professor
Ph.D., University of Georgia, USA, 1965

Detailed description of research

Topology of generalized manifolds
I am interested in problems associated with the structure of generalized manifolds in higher dimension (dimensions greater than 4). In particular, I am interested in discovering the extend to which generalized manifolds having the disjoint disks property resemble topological manifolds. The principle conjectures are that such spaces are topologically homogeneous and that any two that are "sufficiently close" to each other are homeomorphic.