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Topological obstructions to nonnegative curvature
Topological obstructions nonnegative curvature
2010/11/1
We find new obstructions to the existence of complete Riemannian metric of nonnegative sectional curvature on manifolds with infinite fundamental groups. In particular, we construct many examples of v...
On Characterization of Metric Completeness
Completeness fixed point stationary point multimap order
2010/3/1
We give seven necessary and sufficient conditions for a metric space to be complete.
Near Ultrafilters and Compactification of Topological Groups
Near Ultrafilters Topological Groups
2010/3/5
In this work we wiII construct LUC-compactification of a topological group in terms of the new concept of near ultrafilters.