Factorization of bijections onto ordered spaces

摘要

We identify a class of subspaces of ordered spaces L for which the following statement holds: If f : X -> L is an element of L is a continuous bijection of a zero-dimensional space X, then f can be re-routed via a zero-dimensional subspace of an ordered space that has weight not exceeding that of L. (C) 2015 Elsevier B.V. All rights reserved.