On a conjecture of Morel

Abstract

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.

Cited by in corpus (5)

• A^1-connected components of ruled surfaces
• The Hurewicz map in motivic homotopy theory
• Preorientations of the derived motivic multiplicative group
• ${\mathbb{A}}^1$-connected components of blow-up of threefolds fibered over a surface
• A^1-connectedness in reductive algebraic groups