Relative Stone-Weierstrass theorem for mappings between varieties
Algebraic Geometry
2024-12-31 v3
Abstract
We introduce a class of real algebraic varieties characterised by a simple rationality condition, which exhibit strong properties regarding approximation of continuous and smooth mappings by regular ones. They form a natural counterpart to the classes of malleable and quasi-malleable varieties. The approximation property studied here is stronger than those considered before and allows us to deduce non-trivial facts about extensions of regular mappings between varieties.
Cite
@article{arxiv.2408.09233,
title = {Relative Stone-Weierstrass theorem for mappings between varieties},
author = {Juliusz Banecki},
journal= {arXiv preprint arXiv:2408.09233},
year = {2024}
}