0000000001229115

AUTHOR

Marc Troyanov

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Boundary behavior of quasi-regular maps and the isodiametric profile

2001

We study obstructions for a quasi-regular mapping f : M → N f:M\rightarrow N of finite degree between Riemannian manifolds to blow up on or collapse on a non-trivial part of the boundary of M M .

Degree (graph theory)Mathematical analysisMathematics::Analysis of PDEsBoundary (topology)Collapse (topology)GeometryGeometry and TopologyMathematics::Differential GeometryMathematics::Geometric TopologyMathematics::Symplectic GeometryBoundary behavior.Quasi-regular mappingsMathematics
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