Galaz-García, Fernando and Zarei, Masoumeh (2018) 'Cohomogeneity one topological manifolds revisited.', Mathematische Zeitschrift., 288 (3-4). pp. 829-853.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (337Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1007/s00209-017-1915-y |
| Publisher statement: | This is a post-peer-review, pre-copyedit version of an article published in Mathematische Zeitschrift. The final authenticated version is available online at: https://doi.org/10.1007/s00209-017-1915-y |
| Date accepted: | 10 July 2017 |
| Date deposited: | 13 December 2019 |
| Date of first online publication: | 20 August 2017 |
| Date first made open access: | 13 December 2019 |
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