Connectivity of motivic $H$–spaces

Abstract

In this note we prove that the ${\mathbb{A}}^1$–connected component sheaf $a_{Nis}\left({\pi }_0^{{\mathbb{A}}^1}\left(\mathcal{X}\right)\right)$ of an $H$–group $\mathcal{X}$ is ${\mathbb{A}}^1$–invariant.