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math.GT2010★ 1 cited
Sublinear Higson corornae of Euclidean cones
Tomohiro Fukaya
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 tha…
math.GT2008
Coarse dynamics and fixed point property
Tomohiro Fukaya
We investigate the fixed point property of the group actions on a coarse space and its Higson corona. We deduce the coarse version of Brouwer's fixed point theorem.