An analytic structure emerging in presence of infinitely many odd coordinates

Details An analytic structure emerging in presence of infinitely many odd coordinates An analytic structure emerging in presence of infinitely many odd coordinates

1992-11-27

arxiv.org/abs/funct-an/9211008v1

Mathematics

Operator Algebras

9 pages, AmS TeX 2.1

Scientific paper

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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