Norming infinitesimals of large fields

Dales, Harold Garth (2017) Norming infinitesimals of large fields. In: Contemporary Mathematics :. Contemporary Mathematics . American Mathematical Society, USA. ISBN 9781470422561

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Abstract

We give a survey of results on norming the infinitesimals of large fields and on constructing discontinuous homomorphisms from Banach algebras of continuous functions; we raise questions that remain from earlier work. The article is expanded from a talk given in Harvard on 27 March 2015 at the conference in honour of the 60th birthday of W. Hugh Woodin. It includes some historical remarks about the first written mathematics of Hugh.