On Product of Radón Measures
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 427-444

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Let X, Y be locally compact Hausdorff spaces and μ, ν be Radón outer measures on X and Y respectively. The classical product outer measure φ on X × Y generated by measurable rectangles, without direct reference to the topology, turns out to have some serious drawbacks. For example, one can only prove that closed sets (and hence Baire sets) are φ-measurable. It is unknown, even when X and Y are compact, whether closed sets are φ-measurable.
Godfrey, M. C.; Sion, M. On Product of Radón Measures. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 427-444. doi: 10.4153/CMB-1969-053-x
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