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The closedness of the free-disposal hull of a production set
Authors:Anthony Horsley  Andrzej J Wrobel
Institution:(1) Department of Economics, London School of Economics and Political Science, Houghton Street, WC2A 2AE London, UK;(2) Center for Economic Research, University of Tilburg, Hogeschoollaan 225, P. O. Box 90153, 5000 LE Tilburg, The Netherlands
Abstract:Summary Assume thatL is a topological vector lattice andY is a closed subset ofL + ×R N, whereR N denotes theN-dimensional Euclidean space. It is shown that the setY–L + ×R + N is closed ifY has appropriate monotonicity properties. The result is applicable to the case ofL equal toL infin with the Mackey topology, tau(L infin,L 1).
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