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arXiv · 2207.01316

Simplicial homotopy theory of algebraic varieties over real closed fields, Part 1

Ambrus Pál
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Abstract

We study the homotopy type of the simplicial set of continuous semi-algebraic simplexes of an algebraic variety defined over a real closed field, which we will call the real homotopy type. We prove an analogue of the theorem of Artin-Mazur comparing the real homotopy type with the \'etale homotopy type. This paper is part one of a sequence of papers on this topic.

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Ambrus Pál. 2022-07-04. Simplicial homotopy theory of algebraic varieties over real closed fields, Part 1. https://arxiv.org/abs/2207.01316

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