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Reports on Mathematical Logic

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No. 28 (1994)

Mohamed A. AMER

PROBABILITY LOGIC AND MEASURES ON EPIMORPHIC IMAGES OF COPRODUCTS
OF MEASURABLE SPACES
A b s t r a c t.
Measures on epimorphic images of the
coproduct of a non-empty family of measurable spaces are shown to be
equivalent (in some precise sense) to measures on Boolean algebras.
We obtain two sets of sufficient conditions
for the existence of probability measures on factor spaces,
from which a given measure $\mu$ on (an epimorphic image of)
the coproduct can be retrieved.
The results are applied to probability logic -
to prove, reformulate and generalize Los representation theorem.

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