Non-existence of certain types of liftings and densities in product spaces with σ-ideals
Non-existence of certain types of liftings and densities in product spaces with σ-ideals
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Michigan State University Press
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Michigan State University Press
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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.
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Non-existence of certain types of liftings and densities in product spaces with σ-ideals
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TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_rae_1149860219
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_rae_1149860219
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1930-1219
