Finitary imbeddings of certain generalized sample spaces

Gaudard, Marie A.; Weaver, Robert J.

doi:10.1090/S0002-9947-1975-0373474-2

Finitary imbeddings of certain generalized sample spaces
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by Marie A. Gaudard and Robert J. Weaver

Trans. Amer. Math. Soc. 207 (1975), 293-307

DOI: https://doi.org/10.1090/S0002-9947-1975-0373474-2

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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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