  The general form of a mapping of the spin and charge degrees of freedom of
electrons onto spinless fermions and local `spin'-1/2 operators is derived. The
electron Hilbert space is mapped onto a tensor productspin-charge Hilbert
space. The single occupancy condition of the t-J model is satisfied exactly
without the constraints between the operators required with slave particle
methods and the size of the Hilbert space (four states per site) is conserved.
The connection and distinction between the physical electron spin and the
``pseudospin'' used in these maps is made explicit. Specifically the pseudospin
generates rotations both in spin space and particle-hole space. A geometric
description (up to sign) is provided using two component spinors. The form of
the mapped t-J Hamiltonian involves the coupling of spin and spinless fermion
currents, as one expects.
