Order preserving bijections of C(X, I)

摘要

Let X be a compact Hausdorff space which satisfies the first axiom of countability, I = [0, I] and C(X, I) the set of all continuous functions from X to 1. In the paper we will give a description of bijective maps on C(X, I) which preserve the order in both directions. (c) 2005 Elsevier Inc. All rights reserved.