An analytic structure emerging in presence of infinitely many odd coordinates

1992/11/27 by Vladimir Pestov, Pestov, Vladimir G.
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.funct-an/9211008

openalex publication_date 1992/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Universal arrows to forgetful functors from categories of topological algebra

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