2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141960We 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.LaTeX2e, uses atmp.cls, 30 pages, uses xypic, final version,inserted references, typos correctedMathematical PhysicsHigh Energy Physics - TheoryGeometric Topology81T30,81T75text