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In this survey we give a concise introduction to a continuous version ofBorel combinatorics. Our approach will have a certain algorithm-theoreticnature and we will give special emphasis to the notion of almost finitenessintroduced by Matui as a continuous analogue of Borel hyperfiniteness. We alsoshow how the theory can be used to study spectral convergence for graphLaplacians.

Cantor combinatorics and almost finiteness