Part I. Invited Papers Dedicated To The Memory Of Charles H. Randall (1928–1987)

Foundations of Physics

, Volume 20, Issue 5, pp 477-498

First online:

The tensor product of generalized sample spaces which admit a unital set of dispersion-free weights

  • Robin H. LockAffiliated withDepartment of Mathematics, St. Lawrence University

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Techniques for constructing the tensor product of two generalized sample spaces which admit unital sets of dispersion-free weights are discussed. A duality theory is developed, based on the 1-cuts of the dispersion-free weights, and used to produce a candidate for the tensor product. This construction is verified for Dacification manuals, a conjecture is given for other reflexive cases, and some adjustments for nonreflexive cases are considered. An alternate approach, using graphs of interpretation morphisms on the duals, is also presented.