  We reexamine the possibility of the detection of the cosmic topology in
nearly flat hyperbolic Friedmann-Lemaitre-Robertson-Walker (FLRW) universes by
using patterns repetition. We update and extend our recent results in two
important ways: by employing recent observational constraints on the
cosmological density parameters as well as the recent mathematical results
concerning small hyperbolic 3-manifolds. This produces new bounds with
consequences for the detectability of the cosmic topology. In addition to
obtaining new bounds, we also give a concrete example of the sensitive
dependence of detectability of cosmic topology on the uncertainties in the
observational values of the density parameters.
