# A note on weak separability

Research output: Contribution to journal › Article › peer-review

### Standard

**A note on weak separability.** / Murphy, Barry.

Research output: Contribution to journal › Article › peer-review

### Harvard

*The Review of Economic Studies*, vol. 48, no. 154, pp. 671-672.

### APA

### Vancouver

### Author

### Bibtex

}

### RIS

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