A spherical decomposition for Riemannian open 3-manifolds
classification
🧮 math.GT
keywords
decompositionmanifoldsopenriemannianalongcharacterizedelementsexistence
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We show that open 3-manifolds that have a locally finite decomposition along 2-spheres are characterized by the existence of a Riemannian metric with respect to which the second homotopy group of the manifold is generated by small elements.
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