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Cohomogeneity one topological manifolds revisited. [Preprint]

Galaz-Garcia, 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.


Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Publikationstyp Buchaufsatz
Jahr 2015
Sprache Englisch
Identifikator KITopen ID: 1000051177
Erschienen in arXiv [math.DG]
Seiten arXiv:1503.09068
URLs http://arxiv.org/abs/1503.09068
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