Sublinear Higson corornae of Euclidean cones

Details Sublinear Higson corornae of Euclidean cones Sublinear Higson corornae of Euclidean cones

2010-02-25

arxiv.org/abs/1002.4686v1

Mathematics

Geometric Topology

9 pages

Scientific paper

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.

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