Abstract
A closed topological –manifold is of –category if it can be covered by open subsets such that for each path-component of the subsets the image of its fundamental group is an amenable group. is the smallest number such that admits such a covering. For , has –category . We characterize all closed –manifolds of –category , and .
Citation
José Carlos Gómez-Larrañaga. Francisco González-Acuña. Wolfgang Heil. "Amenable category of three–manifolds." Algebr. Geom. Topol. 13 (2) 905 - 925, 2013. https://doi.org/10.2140/agt.2013.13.905
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