Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits Jane Tunstill this book distils the collective

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Livingstone concludes with contemporary examples to remind us that what scientists can say and what others can hear in different venues differ today just as much as they did in the past

But this is more than the tale of one man's experience with cancer

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Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits Jane Tunstill this book distils the collectiveWe study a class of measure theoretic objects that we call cubic couplings, on which there is a common generalization of the Gowers norms and the Host Kra seminorms. Our main result yields a complete structural description of cubic couplings, using nilspaces. We give three applications. Firstly, we describe the characteristic factors of Host Kra type seminorms for measure preserving actions of countable nilpotent groups. This yields an extension of