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arXiv · 2309.00991

Pseudofiniteness and measurability of the everywhere infinite forest

Darío García·Melissa Robles
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Abstract

In this paper we study the theories of the infinite-branching tree and the $r$-regular tree, and show that both of them are pseudofinite. Moreover, we show that they can be realized by infinite ultraproducts of polynomial exact classes of graphs, and so they are also generalised measurable.

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BibTeXRIS

Darío García, Melissa Robles. 2023-09-02. Pseudofiniteness and measurability of the everywhere infinite forest. https://doi.org/10.1017/jsl.2025.10172

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