13 citations · 59 across the 34 of their papers we have counts for
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Four manifolds with no smooth spines
Igor Belegradek, Beibei Liu
Let be a compact smooth -manifold that deformation retract to a PL embedded closed surface. One can arrange the embedding to have at most one non-locally-flat point, and nea…
Iterated circle bundles and infranilmanifolds
Igor Belegradek
We give short proofs of the following two facts: Iterated principal circle bundles are precisely the nilmanifolds. Every iterated circle bundle is almost flat, and hence diffeomorp…
Open aspherical manifolds not covered by the Euclidean space
Igor Belegradek
We show that any open aspherical manifold of dimension n>3 is tangentially homotopy equivalent to an n-manifold whose universal cover is not homeomorphic to the Euclidean space.
Intersections in hyperbolic manifolds
Igor Belegradek
We obtain some restrictions on the topology of infinite volume hyperbolic manifolds. In particular, for any n and any closed negatively curved manifold M of dimension greater than…