Professor Fernando Galaz Garcia fernando.galaz-garcia@durham.ac.uk
Associate Professor
Cohomogeneity one topological manifolds revisited
Galaz-García, Fernando; Zarei, Masoumeh
Authors
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.
Citation
Galaz-García, F., & Zarei, M. (2018). Cohomogeneity one topological manifolds revisited. Mathematische Zeitschrift, 288(3-4), 829-853. https://doi.org/10.1007/s00209-017-1915-y
Journal Article Type | Article |
---|---|
Acceptance Date | Jul 10, 2017 |
Online Publication Date | Aug 20, 2017 |
Publication Date | Apr 30, 2018 |
Deposit Date | Dec 12, 2019 |
Publicly Available Date | Mar 29, 2024 |
Journal | Mathematische Zeitschrift |
Print ISSN | 0025-5874 |
Electronic ISSN | 1432-1823 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 288 |
Issue | 3-4 |
Pages | 829-853 |
DOI | https://doi.org/10.1007/s00209-017-1915-y |
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Copyright 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
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