Geodesic
An Elementary Result on Exponential Measure Spaces
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 277-278

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A simple but useful result in the measure theory for product spaces can be stated as follows:Theorem A. A necessary and sufficient condition that a measurable subset E of X×Y has measure zero is that almost every X-section (or almost every Y-section) has measure zero (see [1, §36]).We will show, in this short note, that a similar result also holds for the exponential of measure spaces. Before proceeding any further, we describe briefly here the exponential construction of a measure space. 
Shen, C. Y. An Elementary Result on Exponential Measure Spaces. Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 277-278. doi: 10.4153/CMB-1972-049-3
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     title = {An {Elementary} {Result} on {Exponential} {Measure} {Spaces}},
     journal = {Canadian mathematical bulletin},
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     year = {1972},
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     doi = {10.4153/CMB-1972-049-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-049-3/}
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