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Preprint Number 1569

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1569. Gabriel Conant
Stability in a group

Submission date: 19 February 2019


We develop local stable group theory directly from topological dynamics, and extend the main results in this subject to the setting of stability “in a model”. Specifically, given a group G, we analyze the structure of sets A ⊆ G such that the bipartite relation xy in A omits infinite half-graphs. Our proofs rely on the characterization of stability via Grothendieck's “double-limit” theorem (as shown by Ben Yaacov), and the work of Ellis and Nerurkar on weakly almost periodic G-flows.

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Full text arXiv 1902.07194: pdf, ps.

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