Connected properties of the sublinear Higson corona of \Bbb Rⁿ

2024/01/05 by Yūji Akaike, Akaike, Yuji
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #General Topology (math.GN) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2401.02598

openalex publication_date 2024/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, for the n-dimensional Euclidean space \Bbb Rⁿ with the usual metric and n≥2, we show that the sublinear Higson corona of \Bbb Rⁿ is not locally connected at any point and is mutually aposyndetic.

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