Talk:Bounded convergence theorem

redirected and merged
This page was created with an immediate corollary of the Dominated convergence theorem. The corollary is that one can replace the hypothesis that the sequence is dominated by an integrable function with the assumption that the space has finite measure and the sequence is uniformly pointwise bounded almost everywhere. If this corollary really is often called the "bounded convergence theorem" (not just in one random textbook), it ought to be mentioned at the article on the DCT. But I can't see why it needs its own article. I have merged the content from here to there. &mdash; Carl (CBM · talk) 04:01, 13 May 2009 (UTC)