A note on weak separability

Barry Murphy

    Research output: Contribution to journalArticlepeer-review


    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.
    Original languageEnglish
    Pages (from-to)671-672
    Number of pages2
    JournalThe Review of Economic Studies
    Issue number154
    Publication statusPublished - Oct 1981


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