Algebraic cohomotopy groups, algebraic fundamental groups and stably free modules

Raja Sridharan, Sumit Kumar Upadhyay

In this article, we prove the algebraic counterpart of the topological results $H^1(S^1,\mathbb{Z})\cong \mathbb{Z}$ and $H^1(S^2,\mathbb{Z})\cong \{0\}$. We also see that a no…