Higson compactifications obtained by expanding and contracting the half-open interval

Abstract

In this paper, we study Higson compactifications of the half-open interval obtained by expanding and contracting the base space. We show that the Higson coronas of the half-open interval obtained by these operations are indecomposable continua. Moreover, we show that the Stone-Cech compactification can be approximated by such Higson compactifications.