  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.
