Cohomogeneity one Alexandrov spaces in low dimensions

Fernando Galaz-Garcia, Masoumeh Zarei

Published 2017-10-23Version 1

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.