An indecomposable continuum as subpower Higson corona

TL;DR

This paper investigates the topological structure of the subpower Higson corona of certain metric spaces, demonstrating it forms an indecomposable continuum and constructing related surjective maps.

Contribution

It establishes that the subpower Higson corona of the half open interval is an indecomposable continuum and provides new surjective maps to Higson compactifications.

Findings

Subpower Higson corona of the half open interval is indecomposable.

Constructed surjective maps onto Higson compactifications.

Enhanced understanding of Higson corona topologies.

Abstract

In this paper, we study the topological properties of the subpower Higson corona of proper metric spaces and show that the subpower Higson corona of the half open interval with the usual metric is an indecomposable continuum. Some surjective maps from the Higson type coronas onto the Higson type compactifications of the half open interval are also constructed.