Discreteness and Large Scale Surjections

Kyle Austin

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arXiv · 1508.02996

Discreteness and Large Scale Surjections

Kyle Austin

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Abstract

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 structures. It is shown that properties like finite asymptotic dimension, coarse finitism, large scale weak paracompactness, ect. are all invariants of coarsely $n$-to-$1$ functions. Metrizability of large scale structures is also investigated.

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BibTeX RIS

Kyle Austin. 2015-08-12. Discreteness and Large Scale Surjections. https://arxiv.org/abs/1508.02996

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