An analytic structure emerging in presence of infinitely many odd coordinates

Vladimir G. Pestov

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An analytic structure emerging in presence of infinitely many odd coordinates

Vladimir G. Pestov

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Abstract

This is a contribution to the program of featuring even geometry as a ``collective effect in infinite-dimensional odd geometry,'' as suggested by Manin. We show that the (Gel'fand) spectrum of the locally convex nonstandard hull (in the sense of Luxemburg) of a grassmannian algebra with infinitely many odd generators contains a nontrivial analytic part.

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Vladimir G. Pestov. 1992-11-27. An analytic structure emerging in presence of infinitely many odd coordinates. https://arxiv.org/abs/funct-an/9211008

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