Notes on A^1-contractibility and A^1-excision
Algebraic Geometry
2018-09-07 v1 Algebraic Topology
K-Theory and Homology
Abstract
We prove that a smooth scheme of dimension over a perfect field is A^1-weakly equivalent to a point if it is A^1-n-connected. We also prove an excision result for A^1-homotopy sheaves over a perfect field.
Keywords
Cite
@article{arxiv.1809.01895,
title = {Notes on A^1-contractibility and A^1-excision},
author = {Yuri Shimizu},
journal= {arXiv preprint arXiv:1809.01895},
year = {2018}
}