Coproducts of D-Posets and Their Application to Probability

被引：0
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作者：
Roman Frič
机构：
[1] Slovak Academy of Sciences,Mathematical Institute
[2] Košice,undefined
[3] Slovak Republic. Slovak Republic and Catholic University in Ružomberok,undefined
来源：
International Journal of Theoretical Physics | 2004年 / 43卷
关键词：
-algebra; bold algebra; -poset; sequentially continuous ; -homomorphism; coproduct; Δ-sum; measurable space; measurable map; -perfectness; natural equivalence; duality; Kolmogorovian probability space; random variable; observable; generalized probability space;
D O I：
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摘要：
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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页码：1625 / 1633
页数：8
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