On the topological dynamics of automorphism groups; a model-theoretic perspective
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Publication:6326191
DOI10.1007/S00153-022-00850-6arXiv1909.13285MaRDI QIDQ6326191
Anand Pillay, Krzysztof Krupiński
Publication date: 29 September 2019
Abstract: We give a model-theoretic treatment of the fundamental results of Kechris-Pestov-Todorv{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-Todorv{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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