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Transactions of the American Mathematical Society

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Finitary imbeddings of certain generalized sample spaces

Authors: Marie A. Gaudard and Robert J. Weaver
Journal: Trans. Amer. Math. Soc. 207 (1975), 293-307
MSC: Primary 81.06
MathSciNet review: 0373474
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Abstract: A generalized sample space each of whose subspaces has as its logic an orthomodular poset is called an HD sample space. In this paper it is shown that any HD sample space may be imbedded in a natural way in a generalized sample space which is HD and at the same time admits a full set of dispersion free weight functions.

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Keywords: Empirical logic, generalized sample space, HD sample space, logic, complete orthomodular lattice, operation, orthogonal set, scattered set, finitary sample space, idealized point
Article copyright: © Copyright 1975 American Mathematical Society