An analytic structure emerging in presence of infinitely many odd coordinates
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Publication:4291021
zbMATH Open0792.58007arXivfunct-an/9211008MaRDI QIDQ4291021
Publication date: 7 August 1994
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.
Full work available at URL: https://arxiv.org/abs/funct-an/9211008
Analysis on supermanifolds or graded manifolds (58C50) Nonstandard functional analysis (46S20) Exterior algebra, Grassmann algebras (15A75)
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