Sublinear Higson corornae of Euclidean cones

Tomohiro Fukaya

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arXiv · 1002.4686

Sublinear Higson corornae of Euclidean cones

Tomohiro Fukaya

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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.

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Tomohiro Fukaya. 2010-02-25. Sublinear Higson corornae of Euclidean cones. https://arxiv.org/abs/1002.4686

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