The muon collider, is a new idea for lepton colliders. The ultimate energy
of an electron ring is limited by synchrotron radiation, Muons, which have
a rest mass that is 200 times that of an electron can be stored at much hig
her before synchrotron performance. The problem with muons is their short l
ife time (2.1 mu s at rest). In order to operate a muon storage ring large
numbers of muon must be collected, cooled and accelerated before they decay
to an electron and two neutrinos. As we see it now, high field superconduc
ting solenoids are an integral part of a muon collider muon production and
cooling systems. This report will describe the design parameters for superc
onducting and hybrid solenoids that are used for pion production and collec
tion, RF phase rotations of the pions as they decay into muons and the muon
cooling (reduction of the muon emittance) before acceleration.