Cohomogeneity one topological manifolds revisited

Fernando Galaz-Garcia; Masoumeh Zarei

Cohomogeneity one topological manifolds revisited

Geometric Topology 2015-06-09 v2 Differential Geometry

Authors: Fernando Galaz-Garcia , Masoumeh Zarei

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.

Keywords

cohomogeneity one topological manifolds structure theorem equivariant classification simply connected homeomorphic smooth manifolds

Cite

@article{arxiv.1503.09068,
  title  = {Cohomogeneity one topological manifolds revisited},
  author = {Fernando Galaz-Garcia and Masoumeh Zarei},
  journal= {arXiv preprint arXiv:1503.09068},
  year   = {2015}
}

Comments

22 pages. Added results on the homeomorphism type in the 7-dimensional case

Cohomogeneity one topological manifolds revisited

Abstract

Keywords

Cite

Comments

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