Talk:Bernstein set

Can we define the Bernstein Set more clearly? It wasn't really clear to me...

Cr.anil 19:43, 20 January 2011 (UTC)

I understand the definition but this article leaves more questions unanswered than it answers. I think the whole "article" is two sentences long. I have seen "articles" like this, but they were always called "stubs". Should this be classified as a stub?

Here are some things I want to know: what are some examples of Bernstein sets? Do you need the Axiom of Choice to construct one? How much of the Axiom of Choice? Who came up with the idea of a Bernstein set? Are they good for anything?

Gsspradlin (talk) 21:32, 25 February 2014 (UTC)

I had inserted the following edit, but someone was unhappy with it and erased it, suggesting I should have used the talk page instead. So here I am trying to use it. The current version of the article is factually incorrect, as explained in my deleted edit enclosed below. Edit: This is a quick note only to indicate that the above is incorrect/imprecise and needs editing. A Bernstein set is itself of positive (even full) OUTER measure, but clearly does not meet its own complement. Every MEASURABLE set of positive measure does indeed meet both the Bernstein set and its complement, but this is another matter. 108.27.83.31 (talk) 01:19, 27 April 2015 (UTC)

I made another edit, replacing positive outer measure with measurable, of positive measure. This corrects the previous factually incorrect description. The references need no change. 108.27.83.31 (talk) 01:40, 27 April 2015 (UTC)