Semi-pullbacks for stochastic relations over analytic spaces

  • Authors:
  • Ernst-Erich Doberkat

  • Affiliations:
  • University of Dortmund Email: ernst-erich.doberkat@udo.edu

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2005

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Abstract

The existence of semi-pullbacks for stochastic relations over analytic spaces is addressed. It is shown by means of a measure extension 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.