Cohomogeneity one topological manifolds revisited

Galaz-García, Fernando; Zarei, Masoumeh

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: Dec 13, 2019
• 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
• Public URL: https://durham-repository.worktribe.com/output/1281496