@article {0668.55014,
title = {Globalizing fibrations by schedules.},
journal = {Fundam. Math.},
volume = {130},
number = {2},
year = {1988},
pages = {125-136},
abstract = {Given a locally finite covering of a space X by numerable open sets, the authors construct a continuous {\textquoteleft}{\textquoteleft}scheduling{\textquoteright}{\textquoteright} operation that breaks up every path in X into subpaths each of which is contained in some element of the covering. The motive is to take a fresh look at globalization theorems for Hurewicz fibrations. Such a theorem follows as an easy corollary of the above result. The method is well suited to deal with fibrations carrying extra structure, such as inversible fibrations (where path lifting defines a homeomorphism between two fibers).},
keywords = {globalization theorems for Hurewicz fibrations, inversible fibrations, numerable covering, scheduling operation},
author = {Dyer, Eldon and Eilenberg, S.}
}