Abstract
The purpose of this note is to show that the usual metric on the set of complete $\operatorname{sub} \sigma$-algebras of a probability space is very tight; a recent result from E. B. Boylan on equi-convergence of martingales follows and is thereby, we believe, better understood.
Citation
J. Neveu. "Note on the Tightness of the Metric on the Set of Complete Sub $\sigma$-Algebras of a Probability Space." Ann. Math. Statist. 43 (4) 1369 - 1371, August, 1972. https://doi.org/10.1214/aoms/1177692492
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