Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
We study a class of measure-theoretic objects that we call
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| Médium: | E-kniha Kniha |
| Jazyk: | angličtina |
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Providence, Rhode Island
American Mathematical Society
2023
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| Vydání: | 1 |
| Edice: | Memoirs of the American Mathematical Society |
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| ISBN: | 1470465485, 9781470465483 |
| ISSN: | 0065-9266, 1947-6221 |
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| Abstract | We study a class of measure-theoretic objects that we call |
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| AbstractList | View the abstract. We study a class of measure-theoretic objects that we call |
| Author | Szegedy, Balázs Candela, Pablo |
| Author_xml | – sequence: 1 fullname: Candela, Pablo – sequence: 2 fullname: Szegedy, Balázs |
| BackLink | https://cir.nii.ac.jp/crid/1130297493312185228$$DView record in CiNii |
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| Copyright | Copyright 2023 American Mathematical Society |
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| DOI | 10.1090/memo/1425 |
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| Notes | Includes bibliographical references (p. 99-101) July 2023, volume 287, number 1425 (third of 6 numbers) |
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| PublicationPlace | Providence, Rhode Island |
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| SubjectTerms | Curves, Cubic Measure-preserving transformations Nilpotent groups |
| TableOfContents | Introduction
--
Measure-theoretic preliminaries
--
Cubic couplings
--
The structure theorem for cubic couplings
--
On characteristic factors associated with nilpotent group actions
--
On cubic exchangeability
--
Limits of functions on compact nilspaces
--
Background results from measure theory Cover -- Title page -- Chapter 1. Introduction -- Acknowledgments -- Chapter 2. Measure-theoretic preliminaries -- 2.1. Some basic notions -- 2.2. Couplings -- 2.3. Closed properties in a coupling space -- 2.4. Localization -- 2.5. Conditional independence in set lattices -- 2.6. Idempotent couplings -- Chapter 3. Cubic couplings -- 3.1. Conditional independence of simplicial sets -- 3.2. Tricubes -- 3.3. ^{ }-convolutions and ^{ }-seminorms associated with a cubic coupling -- 3.4. Fourier -algebras -- 3.5. Properties of ^{ }-convolutions -- 3.6. Topologization of cubic couplings -- 3.7. Continuous ⁿ-convolutions -- 3.8. Topological nilspace factors of \ns -- Chapter 4. The structure theorem for cubic couplings -- 4.1. Verifying the ergodicity and composition axioms -- 4.2. Complete dependence of corner couplings -- 4.3. Convolution neighbourhoods -- 4.4. Construction of the coupling Υ. -- 4.5. Verifying the corner-completion axiom -- Chapter 5. On characteristic factors associated with nilpotent group actions -- Chapter 6. On cubic exchangeability -- Chapter 7. Limits of functions on compact nilspaces -- Appendix A. Background results from measure theory -- Bibliography -- Back Cover |
| Title | Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits |
| URI | https://www.ams.org/memo/1425/ https://cir.nii.ac.jp/crid/1130297493312185228 https://ebookcentral.proquest.com/lib/[SITE_ID]/detail.action?docID=30671912 https://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9781470475413 |
| Volume | 287 |
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