The structure theory of nilspaces. I

DOI10.1007/s11854-020-0093-8zbMath1442.37020arXiv1605.08945OpenAlexW3019228894MaRDI QIDQ2177969

Yonatan Gutman, Freddie Manners, Péter Pál Varjú

Publication date: 7 May 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08945

zbMATH Keywords

Lie groupcocyclefibrationnilspace

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Local Lie groups (22E05) Dynamics in general topological spaces (37B02)

Related Items (15)

Approximately symmetric forms far from being exactly symmetric ⋮ Generalizations of Fourier analysis, and how to apply them ⋮ Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds ⋮ On higher-order Fourier analysis in characteristic p ⋮ On the structure theory of cubespace fibrations ⋮ Inverse theorem for certain directional Gowers uniformity norms ⋮ Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits ⋮ Host–Kra theory for -systems and multiple recurrence ⋮ Directional dynamical cubes for minimal -systems ⋮ The structure theory of Nilspaces II: Representation as nilmanifolds ⋮ http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects ⋮ Notes on compact nilspaces ⋮ On nilspace systems and their morphisms ⋮ The structure theory of nilspaces. III: Inverse limit representations and topological dynamics ⋮ Strictly ergodic distal models and a new approach to the Host-Kra factors

Cites Work

• Unnamed Item
• Unnamed Item
• The quantitative behaviour of polynomial orbits on nilmanifolds
• Survey article: an elementary illustrated introduction to simplicial sets
• Nilsequences and a structure theorem for topological dynamical systems
• Linear equations in primes
• The structure theory of nilspaces. III: Inverse limit representations and topological dynamics
• Nonconventional ergodic averages and nilmanifolds
• Nilsystèmes d’ordre 2 et parallélépipèdes
• Parallelepipeds, nilpotent groups and Gowers norms
• The structure theory of Nilspaces II: Representation as nilmanifolds
• http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects
• Notes on compact nilspaces
• FROM GRAPH LIMITS TO HIGHER ORDER FOURIER ANALYSIS
• AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

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