English

Sublinear Higson corornae of Euclidean cones

Geometric Topology 2010-02-26 v1 Metric Geometry

Abstract

The aim of this paper is to introduce the sublinear Higson corona and show that the sublinear Higson corona of Euclidean cone of P and X is decomposed into the product of P and that of X. Here P is a compact metric space and X is unbounded proper metric space. For example, the sublinear Higson corona of n-dimensional Euclidean space is homeomorphic to the product of (n-1)-dimensional sphere and that of natural numbers.

Keywords

Cite

@article{arxiv.1002.4686,
  title  = {Sublinear Higson corornae of Euclidean cones},
  author = {Tomohiro Fukaya},
  journal= {arXiv preprint arXiv:1002.4686},
  year   = {2010}
}

Comments

9 pages

R2 v1 2026-06-21T14:50:58.758Z