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The partially ordered sets of measure theory and Tukey's ordering


Abstract


In [28], J.W. Tukey introduced an ordering on the class of directed sets, designed to illuminate the theory of Moore-Smith convergence. I show how variations of his idea can be used to give information on a wide variety of partially ordered sets arising in measure theory.

DOI Code: 10.1285/i15900932v11p177

Classification: 06A10; 03E05; 28A99; 46B30

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