We describe a feasibility study for the design of a muon collider. We have adopted a scheme where steps of cooling and acceleration are entwined. We have indeed found convenient to accelerate the beam as fast as possible to increase its chances of survival, and necessary to dilute the action of cooling throughout the entire accelerating process to make it more effective affordable. As an example, we describe a muon collider at the energy of 250 GeV per beam and a luminosity of 4×1025 cm2s1. We have adopted an extrapolation of the stochastic cooling method for the reduction of the beam emittance.

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