Cohomogeneity one topological manifolds revisited

Fernando Galaz-Garcia; Masoumeh Zarei

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arXiv · 1503.09068

Cohomogeneity one topological manifolds revisited

Fernando Galaz-Garcia·Masoumeh Zarei

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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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Fernando Galaz-Garcia, Masoumeh Zarei. 2015-03-31. Cohomogeneity one topological manifolds revisited. https://arxiv.org/abs/1503.09068

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