Tsukuba Journal of Mathematics

An indecomposable continuum as subpower Higson corona

Yutaka Iwamoto

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Abstract

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

Article information

Source
Tsukuba J. Math., Volume 42, Number 2 (2018), 173-190.

Dates
First available in Project Euclid: 2 April 2019

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1554170421

Digital Object Identifier
doi:10.21099/tkbjm/1554170421

Mathematical Reviews number (MathSciNet)
MR3934987

Zentralblatt MATH identifier
07055229

Subjects
Primary: 54D40: Remainders
Secondary: 54C45: $C$- and $C^*$-embedding 54D05: Connected and locally connected spaces (general aspects) 54E40: Special maps on metric spaces

Keywords
Higson corona indecomposable continuum Stone-Čech compactification

Citation

Iwamoto, Yutaka. An indecomposable continuum as subpower Higson corona. Tsukuba J. Math. 42 (2018), no. 2, 173--190. doi:10.21099/tkbjm/1554170421. https://projecteuclid.org/euclid.tkbjm/1554170421


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