A note on weak separability
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A note on weak separability. / Murphy, Barry.
In: The Review of Economic Studies, Vol. 48, No. 154, 10.1981, p. 671-672.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - A note on weak separability
AU - Murphy, Barry
PY - 1981/10
Y1 - 1981/10
N2 - Here subsets of the real line are given the subspace topology, and Cartesian products of topological spaces are given the product topology. Monotone means weakly increasing or weakly decreasing with respect to the natural ordering of R. This article comments on joint continuity that enables one to remove a certain amount of confusion about a small point in the celebrated paper "The Structure of Utility Functions." The question at issue is whether it is necessary for Gorman's results that the domains of his utility functions be not merely connected, but in fact path-connected, topological spaces.
AB - Here subsets of the real line are given the subspace topology, and Cartesian products of topological spaces are given the product topology. Monotone means weakly increasing or weakly decreasing with respect to the natural ordering of R. This article comments on joint continuity that enables one to remove a certain amount of confusion about a small point in the celebrated paper "The Structure of Utility Functions." The question at issue is whether it is necessary for Gorman's results that the domains of his utility functions be not merely connected, but in fact path-connected, topological spaces.
M3 - Article
VL - 48
SP - 671
EP - 672
JO - The Review of Economic Studies
JF - The Review of Economic Studies
SN - 0034-6527
IS - 154
ER -
ID: 151387