Let $f\colon V\to W$ be a surjective linear map between $\mathbb{R}$-vector spaces. Then $f$ admits a right inverse/ section $s$ such that $f\circ s = id_W$.
Is there a way to prove the existence of a right inverse without picking a basis?
Asked
Active
Viewed 71 times
1
-
Yes you can, but still assuming AC (see this for example). – user10354138 Feb 11 '21 at 08:07