  We present an up-to-date overview of the problem of top quark mass
determination. We assess the need for precision in the top mass extraction in
the LHC era together with the main theoretical and experimental issues arising
in precision top mass determination. We collect and document existing results
on top mass determination at hadron colliders and map the prospects for future
precision top mass determination at e+e- colliders. We present a collection of
estimates for the ultimate precision of various methods for top quark mass
extraction at the LHC.
