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arXiv · 1909.03188

The Canonical Grothendieck Topology and a Homotopical Analog

Cynthia Lester
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Abstract

We explore the canonical Grothendieck topology and a new homotopical analog. First we discuss some background information, including defining a new 2-category called the Index-Functor Category and a sieve generalization. Then we discuss a specific description of the covers in the canonical topology and a homotopical analog. Lastly, we explore the covers in the homotopical analog by obtaining some examples.

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Cynthia Lester. 2019-09-07. The Canonical Grothendieck Topology and a Homotopical Analog. https://arxiv.org/abs/1909.03188

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