Talk:Schröder-Bernstein property/Draft

Three remarks

Nice, Boris. I have only minor comments:

1. I think the "noncommutative counterpart" needs some more explanation.
2. What do you think of discussing the relation to antisymmetry of order?
3. What about more structure by (sub)headings?

--Peter Schmitt 23:55, 25 September 2010 (UTC)

1. "noncommutative counterpart" — on one hand, I am waiting for a book from our library about this point; but on the other hand, it is anyway beyond the form "If X is similar to a part of Y and also Y is similar to a part of X then X and Y are similar (to each other)" and only inspired by it.

2. "relation to antisymmetry of order" — you are right, this should be noted.

3. "structure by (sub)headings" — I also feel the need, but the article is so short, I do not see which headings; do you? Boris Tsirelson 06:23, 26 September 2010 (UTC)

As for headings: "Examples" is obvious, I think.

The introduction could say something like: "(Remark) In contrast to most mathematical terms this only gives the general form, the pattern, of a statement instead of a definite and precise definition."

Then the explanation following it could have the heading "The general pattern" (or similar). For tactical reasons :-) I do not make changes myself.

--Peter Schmitt 12:41, 28 September 2010 (UTC)