Simplicial homotopy theory of algebraic varieties over real closed fields, Part 1
Algebraic Geometry
2022-07-05 v1
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.
Keywords
Cite
@article{arxiv.2207.01316,
title = {Simplicial homotopy theory of algebraic varieties over real closed fields, Part 1},
author = {Ambrus Pál},
journal= {arXiv preprint arXiv:2207.01316},
year = {2022}
}
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37 pages