The Wikipedia article for the revised simplex method states
A vertex of the feasible polytope can be identified as a basis for $B$ for the matrix $A$, chosen from the columns of $A$
Here, the feasible polytope is $P = \{x : Ax = b, x \geq 0\}$.
Is the statement is about a bijection between vertices of $P$ and bases of (the column-space of) $A$? What is this bijection?