On a conjecture of Morel

Utsav Choudhury

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