  Dislocations are ubiquitous in three-dimensional solid-state materials. The
interplay of such real space topology with the emergent band topology defined
in reciprocal space gives rise to gapless helical modes bound to the line
defects. This is known as bulk-dislocation correspondence, in contrast to the
conventional bulk-boundary correspondence featuring topological states at
boundaries. However, to date rare compelling experimental evidences are
presented for this intriguing topological observable, owing to the presence of
various challenges in solid-state systems. Here, using a three-dimensional
acoustic topological insulator with precisely controllable dislocations, we
report an unambiguous experimental evidence for the long-desired
bulk-dislocation correspondence, through directly measuring the gapless
dispersion of the one-dimensional topological dislocation modes. Remarkably, as
revealed in our further experiments, the pseudospin-locked dislocation modes
can be unidirectionally guided in an arbitrarily-shaped dislocation path. The
peculiar topological dislocation transport, expected in a variety of classical
wave systems, can provide unprecedented controllability over wave propagations.
