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arxiv: 1310.8595 · v1 · pith:QRRJC3L6new · submitted 2013-10-31 · 🧮 math.CV · math.GT· math.MG

Quasiregular ellipticity of open and generalized manifolds

classification 🧮 math.CV math.GTmath.MG
keywords mathbbmanifoldsopenbranchedcontrolledcoveringdecompositionellipticity
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We study the existence of geometrically controlled branched covering maps from $\mathbb R^3$ to open $3$-manifolds or to decomposition spaces $\mathbb S^3/G$, and from $\mathbb S^3/G$ to $\mathbb S^3$.

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