I'm aware that a vector bundle and a ringed space are different objects. They do seem to be similar however.
A vector bundle assigns a vector space structure to each point a base space, while a ringed space assigns to every open set a ring, module, algebra, etc.
Is it possible to define a ringed space on stalks and would it turn out that the assignment of a (say, ring) at each stalk is continuous in an analogous way to that of a vector bundle?
Could anyone also provide more similarities/differences between ringed spaces and vector bundles?