Level {\epsilon}

Francisco Marmolejo; Matías Menni

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arXiv · 1909.12757

Level {\epsilon}

Francisco Marmolejo·Matías Menni

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Abstract

Lawvere has observed that certain 'gros' toposes in algebraic geometry suggest the existence of an 'infinitesimal level', closely related to finite-dimensional local algebras. Motivated by this observation we propose an elementary definition of level {\epsilon} associated to a local geometric morphism, establish some relevant basic properties suggested by geometric intuition, and give concrete descriptions of the level {\epsilon} determined by several pre-cohesive geometric morphisms.

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Francisco Marmolejo, Matías Menni. 2019-09-27. Level {\epsilon}. https://arxiv.org/abs/1909.12757

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