K. Austin

activity

20132019

C^{*}

-algebras and Gelfand Duality

5 citations · 13 across the 6 of their papers we have counts for

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2 papers · 1 filter

math.GT2016★ 4 cited

Higson Compactification and Dimension Raising

Kyle Austin, Žiga Virk

Let $X$ and $Y$ be proper metric spaces. We show that a coarsely $n$ -to- $1$ map $f : X \to Y$ induces an $n$ -to- $1$ map of Higson coronas. This viewpoint turns out to be success…

math.GT2015★ 2 cited

Discreteness and Large Scale Surjections

Kyle Austin

We study the concept of coarse disjointness and large scale $n$ -to- $1$ functions. As a byproduct, we obtain an Ostrand-type characterization of asymptotic dimension for coarse stru…