Abstract
We prove that if $(\Omega,\Sigma,\mathcal{I}),\; (\Theta,T,\mathcal{J})$ and $(\Omega \times\Theta,\Xi,\mathcal{K})$ are measurable spaces with $\sigma$-ideals satisfying some natural Fubini type conditions then there is no density on $(\Omega\times\Theta,\Xi,\mathcal{K})$ with density invariant sections.
Citation
N. D. Macheras. K. MusiaŁ. W. Strauss. "Non-existence of certain types of liftings and densities in product spaces with σ-ideals.." Real Anal. Exchange 29 (1) 473 - 480, 2003-2004.
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