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arXiv · 1802.01908

Cantor combinatorics and almost finiteness

Gabor Elek
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Abstract

In this survey we give a concise introduction to a continuous version of Borel combinatorics. Our approach will have a certain algorithm-theoretic nature and we will give special emphasis to the notion of almost finiteness introduced by Matui as a continuous analogue of Borel hyperfiniteness. We also show how the theory can be used to study spectral convergence for graph Laplacians.

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Gabor Elek. 2018-02-06. Cantor combinatorics and almost finiteness. https://arxiv.org/abs/1802.01908

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