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arXiv · 2508.15786

Diffeological Generalized Formal Series: An Overview

Jean-Pierre Magnot
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Abstract

We present an overview of some recent developments in the theory of generalized formal series, grounded in diffeological geometric framework. These constructions aim to offer new tools for understanding infinite-dimensional phenomena in mathematical physics, particularly in contexts where standard atlases and charts are insufficient. Applications to tensor structures and categorical gradings are discussed, and emerging applications are mentioned.

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Jean-Pierre Magnot. 2025-08-06. Diffeological Generalized Formal Series: An Overview. https://arxiv.org/abs/2508.15786

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