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arXiv · 1909.13285

On the topological dynamics of automorphism groups; a model-theoretic perspective

Krzysztof Krupinski·Anand Pillay
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Abstract

We give a model-theoretic treatment of the fundamental results of Kechris-Pestov-Todor\v{c}evi\'{c} theory in the more general context of automorphism groups of not necessarily countable structures. One of the main points is a description of the universal ambit as a certain space of types in an expanded language. Using this, we recover various results of Kechris-Pestov-Todor\v{c}evi\'{c}, Moore, Ngyuen Van Th\'{e}, in the context of automorphism groups of not necessarily countable structures, as well as Zucker.

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Krzysztof Krupinski, Anand Pillay. 2019-09-29. On the topological dynamics of automorphism groups; a model-theoretic perspective. https://arxiv.org/abs/1909.13285

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