An essential signature of the topological nature of all Aharonov-Bohm
type phases is that they are nondispersive, i.c., independent of the v
elocity (wavelength) of the interfering particles. This implies that a
n Aharonov-Bohm phase shift can greatly exceed the usual limit given b
y the coherence length of the interfering beams. We report the results
of a polarized neutron experiment demonstrating this property for a s
pin-rotation analog of the scalar Aharonov-Bohm effect.