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arxiv: 1710.08081 · v1 · pith:WLVITT6Ynew · submitted 2017-10-23 · 🧮 math.DG · math.MG

Cohomogeneity one Alexandrov spaces in low dimensions

Fernando Galaz-Garcia , Masoumeh Zarei This is my paper
classification 🧮 math.DG math.MG
keywords cohomogeneityalexandrovcloseddimensionsorbifoldsimply-connectedsmoothspaces
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We classify closed, simply-connected cohomogeneity-one Alexandrov spaces in dimensions $5$, $6$ and $7$. We show that every closed, simply-connected smooth $n$-orbifold, $2\leq n\leq 7$ with a cohomogeneity one action is equivariantly homeomorphic to a smooth good orbifold of cohomogeneity one.

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