2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77979We prove that the space of gauge equivalence classes of U(1)-invariant connections on some SU(2)-principle bundles over the 4-sphere S^4 is weakly homotopy equivalent to a component of the second loop space of the 2-sphere S^2.8 pages, AMS-Tex, to appear in Proceedings of the AMSAlgebraic TopologyDifferential Geometry58B05, 55P91The Homotopy Type of hyperbolic Monopole Orbit Spacestext