Gluing of infinitesimal models of algebraic theories

Filip Bár

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arXiv · 2305.01357

Gluing of infinitesimal models of algebraic theories

Filip Bár

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Abstract

Categories of models of algebraic theories have good categorical properties except for gluing. Building upon insights and examples from Synthetic Differential Geometry, we introduce a generalisation of models of algebraic theories to infinitesimal models. We demonstrate that the category of infinitesimal models retains most of the good categorical properties, but with a stark improvement in the behaviour of gluing. This makes infinitesimal models an interesting natural construction with the ability to interpolate between algebra and geometry.

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BibTeX RIS

Filip Bár. 2023-05-02. Gluing of infinitesimal models of algebraic theories. https://arxiv.org/abs/2305.01357

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