Scheme for Ionization Cooling for a Muon Collider

We discuss a complete scheme for production and cooling a muon beam for three specified Muon Colliders. We outline the parameters for these Muon Colliders. The scheme starts with the front end of a proposed Neutrino Factory that yields bunch trains of both muon signs. Emittance exchange cooling in upward or downward broad helical lattices reduces the longitudinal emittance until it becomes possible to merge the trains into single bunches: one of each sign. Further cooling in all dimensions is applied to the single bunches in further upward climbing helical lattices. Final transverse cooling to the required parameters is achieved in 50 T solenoids that use high temperature superconductor. Preliminary simulations of each element are presented. We discuss known challenges.