Cohomogeneity one topological manifolds revisited

2015/03/31 by Galaz-Garcia, Fernando, Zarei, Masoumeh
#57M60 #57N15 #57R10 #57S10 #57S25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1503.09068

Abstract

We prove a structure theorem for closed topological manifolds of cohomogeneity one; this result corrects an oversight in the literature. We complete the equivariant classification of closed, simply connected cohomogeneity one topological manifolds in dimensions 5, 6, and 7 and obtain topological characterizations of these spaces. In these dimensions, these manifolds are homeomorphic to smooth manifolds.

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