Topological properties of the attainable set in a nonconvex production economy (Q1112708)

We show that in a general equilibrium model with l goods and n firms with (possibly) non-convex production sets, the so-called survival assumption, along with standard assumptions, implies that the set of (resp. efficient) attainable production plans is homeomorphic to the closed unit ball of \(R^{\ln}\) (resp. \(R^{(l-1)n})\).