  We study topological T-duality for spaces with a semi-free $S^1-$action with
isolated fixed points. Physically, these correspond to spacetimes containing
Kaluza-Klein monopoles. We demonstrate that the physical dyonic coordinate of
such spaces has an analogue in our formalism. By analogy with the Dirac
monopole, we study these spaces as gerbes. We study the effect of Topological
T-duality on these gerbes.
