  In this note we define fibrations of topological stacks and establish their
main properties. We prove various standard results about fibrations (fiber
homotopy exact sequence, Leray-Serre and Eilenberg-Moore spectral sequences,
etc.). We prove various criteria for a morphism of topological stacks to be a
fibration, and use these to produce examples of fibrations. We prove that every
morphism of topological stacks factors through a fibration and construct the
homotopy fiber of a morphism of topological stacks. When restricted to
topological spaces our notion of fibration coincides with the classical one.
