I understand that space elevators are extremely hypothetical (bordering on pure fiction), but they are supposed to be theoretically possible.
My questions is about what longidtudes a lunar space elevator could be located at. According to Wikipedia:
There are two points in space where an elevator's docking port could maintain a stable, lunar-synchronous position: the Earth-Moon Lagrange points L1 and L2.
Considering that space elevators are supposed to be held in place by centrifugal forces, I don't see why points of gravitational equilibrium should be necessary. Could it be that the lunar space elevator described in Wikipedia is primarily held in place by gravity, not the Moon's rotation? If so, does that mean a primarily centrifugal space elevator at other longitudes is impossible (perhaps due to stationary orbit being outside of the Moon's Hill sphere)?
In either case, space elevators at nonequatorial latitudes are supposed to be possible. Does this mean two or more space elevators at the same longitude, and using the same Lagrange point, would intersect?