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Ends and simple coarse structures. (arXiv:1801.09580v2 [math.MG] UPDATED)
来源于:arXiv
Abstract coarse structures were introduced by J.Ro. Subsequently, equivalent
structures, called large scale structures were introduced by J.Dydak and
C.Hoffland. This paper is devoted to a much simpler definition of majority of
useful coarse structures. Namely, they are equivalence relations on the set of
simple ends of sets equipped with a bounded structure. As an application we
show that Gromov boundary of every hyperbolic space is an example of a Higson
corona and each Freundenthal compactification is an example of a Higson
compactification. 查看全文>>