Small Systems Convergence and Metrizability

Capital Accumulation and Convergence in a Small Open Economy

 Outward-oriented economies seem to grow faster than inward-looking ones. Does the literature on convergence have anything to say on this? In the dynamic Heckscher-Ohlin-Samuelson model, with factor-price equalization, there is no convergence of incomes. This is because with identical preferences and return to capital, irrespective of initial levels the growth rates of consumption are the same....

Resolvable Maps Preserve Complete Metrizability

Let X be a Polish space, Y a separable metrizable space, and f : X → Y a continuous surjection. We prove that if the image under f of every open set or every closed set is resolvable, then Y is Polish. This generalizes similar results by Sierpiński, Vainštain, and Ostrovsky.

Metrizability of Decomposition Spaces

Remarks on Metrizability

In connection with those paragraphs of my paper Applications of the theory of Boolean rings to general topology (Trans. Amer. Math. Soc. vol. 41 (1937) pp. 375-481) dealing with regular spaces, I have long been curious to know whether certain results proved there could be used to obtain the well known theorem that a separable (Hausdorff) space is metrizable if (and only if) it is regular. Since...

The Euler-lagrange Pde and Finsler Metrizability

In this paper we investigate the following question: under what conditions can a second-order homogeneous ordinary differential equation (spray) be the geodesic equation of a Finsler space. We show that the EulerLagrange partial differential system on the energy function can be reduced to a first order system on this same function. In this way we are able to give effective necessary and suffici...