Simplicial homotopy theory of algebraic varieties over real closed fields, Part 1
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 étale homotopy type. This paper is part one of a sequence of papers on this topic.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2022
- DOI:
- 10.48550/arXiv.2207.01316
- arXiv:
- arXiv:2207.01316
- Bibcode:
- 2022arXiv220701316P
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14F35;
- 14P10
- E-Print:
- 37 pages