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• W2977142202 startingPage "109779" @default.
• W2977142202 abstract "Cocycles are a key object in Antol'{i}n Camarena and Szegedy's (topological) theory of nilspaces. We introduce measurable counterparts, named nilcycles, enabling us to give conditions which guarantee that an ergodic group extension of a strictly ergodic distal system admits a strictly ergodic distal topological model, revisiting a problem studied by Lindenstrauss. In particular we show that if the base space is a dynamical nilspace then a dynamical nilspace topological model may be chosen for the extension. This approach combined with a structure theorem of Gutman, Manners and Varj'{u} applied to the ergodic group extensions between successive Host-Kra characteristic factors gives a new proof that these factors are inverse limit of nilsystems." @default.
• W2977142202 created "2019-10-03" @default.
• W2977142202 creator A5052921127 @default.
• W2977142202 creator A5088998169 @default.
• W2977142202 date "2023-02-01" @default.
• W2977142202 modified "2023-10-15" @default.
• W2977142202 title "Strictly ergodic distal models and a new approach to the Host-Kra factors" @default.
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• W2977142202 doi "https://doi.org/10.1016/j.jfa.2022.109779" @default.
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