Coproducts of D-Posets and Their Application to Probability

Author： Frič Roman  

Publisher： Springer Publishing Company

ISSN： 0020-7748

Source： International Journal of Theoretical Physics, Vol.43, Iss.7-8, 2004-08, pp. : 1625-1633

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Abstract

D-posets introduced by F. Chovanec and F. Kôpka ten years ago provide a suitable algebraic structure to model events in probability theory. Generalizing analogous results for fields of sets and bold algebras, we describe a duality between certain coproducts of D-posets and generalized measurable spaces. An important role in the duality is played by sequential convergence. We mention some applications to the foundations of probability.

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