We study a 3-band model of CuO2 with ''bare bones'' interactions: hopp
ing from copper ions to nearest-neighbor oxygens t(pd) only, a two-bod
y interaction on the copper ions U-dd only, and an overlap copper-oxyg
en parameter lambda(pd). In the limit t(pd) proportional to U-dd(1/2)
--> infinity,t=t(pd)(2)/2U(dd) is the unit of energy with 8 lambda(pd
)(2) as the only parameter of significance. If the two-body interactio
n is invariant under particle-hole interchange, the low-lying states (
energy O(t)) can be described by conserved particles and can all be c
lassified. They are quite distinct from the high-lying states (energie
s O(U-dd)). The dynamics of the conserved fermion-like elementary part
icles are well described by a modified t-J model with extended hopping
and nearest-neighbor superexchange attraction. This is a scenario kno
wn to be favorable to high-temperature superconductivity, but it must
be noted that both the hopping range and the exchange are functions of
8 lambda(pd)(2). Moreover, if the Hamiltonian is not invariant under
particle-hole interchange the dynamics becomes much more complex and p
ossibly more inimical to high-temperature superconductivity. This may
provide an explanation for the deleterious effect on superconductivity
of very small concentrations of certain impurities.