Stability in a group

  • G. Conant

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

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G. Conant, Stability in a group. Groups Geom. Dyn. 15 (2021), no. 4, pp. 1297–1330

DOI 10.4171/GGD/631