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Semi-Pullbacks for Stochastic Relations over Analytic Spaces

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Universität Dortmund

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Abstract

The existence of semi-pullbacks for stochastic relations over analytic spaces is addressed. Via a measure extension it is shown that the theory of measurable selectors for measurable relations may be employed for its solution. The category of stochastic relations is shown not to have (weak) pullbacks.

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semi-pullbacks, Stochastic relations over Polish and analytic spaces, (weak) pullbacks

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