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Supermanifolds and sequences of computable structures: a link via a nonstandard extension of differential geometry

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Abstract

Using a generalized theory of manifolds, based on the ideas and techniques of nonstandard analysis, a link is established between sequences of computable structures converging to a classical manifold and certain manifold-like structures involving anticommuting variables. The supermanifolds appearing here may be interpreted as a kind of representation of sequences of computable structures.

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Author notes

  1. Karl-Georg Schlesinger

    Present address: Erwin Schrödinger, Institute for Mathematical Physics, Boltzmanngasse, 9-A-1090, Vienna, Austria

Authors and Affiliations

  1. Department of Mathematics, University of Wuppertal, D-42097, Wuppertal, Germany

    Karl-Georg Schlesinger

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  1. Karl-Georg Schlesinger
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Schlesinger, KG. Supermanifolds and sequences of computable structures: a link via a nonstandard extension of differential geometry. Rend. Circ. Mat. Palermo 48, 563–570 (1999). https://doi.org/10.1007/BF02844345

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  • DOI: https://doi.org/10.1007/BF02844345

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