Correction: “Asymptotics of a class of Markov processes which are not in general irreducible” [Ann. Probab. 16 (1988), no. 3, 1333–1347; MR 89m:60148]
Bhattacharya, Rabi N. ; Lee, Oesook
Ann. Probab., Tome 25 (1997) no. 4, p. 1541-1543 / Harvested from Project Euclid
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The set $\mathscr{P}(S)$ of probability measures on the Borel sigma field of every closed subset $S$ of $\mathbb{R}^k$ is shown to be complete under a Kolmogorov type metric. An assertion in the 1988 article by Bhattacharya and Lee that this completeness holds if $S$ is merely topologically complete is false.
Publié le : 1997-07-14
Classification:  Nondecreasing maps,  completeness of a set of probability measures,  60F05,  60J05 
@article{1024404526,
     author = {Bhattacharya, Rabi N. and Lee, Oesook},
     title = {Correction: ``Asymptotics of a class of Markov processes
 which are not in general irreducible'' [Ann. Probab. 16 (1988),
 no. 3, 1333--1347; MR 89m:60148]},
     journal = {Ann. Probab.},
     volume = {25},
     number = {4},
     year = {1997},
     pages = { 1541-1543},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1024404526}
}

Bhattacharya, Rabi N.; Lee, Oesook. Correction: “Asymptotics of a class of Markov processes
 which are not in general irreducible” [Ann. Probab. 16 (1988),
 no. 3, 1333–1347; MR 89m:60148]. Ann. Probab., Tome 25 (1997) no. 4, pp.  1541-1543. http://gdmltest.u-ga.fr/item/1024404526/