  We investigate to what extent the cosmic crystallographic methods aimed to
detect the topology of the universe using catalogues of cosmic objects would be
damaged by various observational uncertainties. We find that the topological
signature is robust in the case of Euclidean spaces, but is very fragile in the
case of compact hyperbolic spaces. Comparing our results to the presently
accepted range of values for the curvature parameters, the best hopes for
detecting space topology rest on elliptical space models.
