  In the recent paper "Reparametrizations of continuous paths", J. Homotopy
Relat. Struct. 2 (2007), 93-117 (with U. Fahrenberg), we performed a systematic
investigation of reparametrizations of continuous paths in a Hausdorff space
that relies crucially on a proper understanding of stop data of a (weakly
increasing) reparametrization of the unit interval. I am grateful to Marco
Grandis (Genova) for pointing out to me that the proof of Proposition 3.7 in
that paper is wrong. Fortunately, the statement of that Proposition and the
results depending on it stay correct. It is the purpose of this note to provide
correct proofs.
