Muon-Muon and other High Energy Colliders

Parameters are given of 4 TeV and 0.5 TeV (c-of-m) high luminosity muon-muon Colliders. We discuss the various systems, starting from the proton accelerator needed to generate the muons and proceeding through muon cooling, acceleartion and storage in a collider ring. Detector background, polarization are analyzed. We also look at other type of colliders (hadron, lepton and photon-photon) for comparison. Technical problems in obtaining increased energy in each type of machine are presented. Their relative size and probable relative costs are discussed