Talk:Schröder-Bernstein theorem/Draft

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Revision as of 06:19, 5 October 2010 by imported>Boris Tsirelson (four remarks)
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 Definition A classic theorem of set theory asserting that sets can be ordered by size. [d] [e]
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"Details": "the induced induced image"? Boris Tsirelson 06:29, 26 September 2010 (UTC)

Thanks. Corrected. --Peter Schmitt 12:26, 28 September 2010 (UTC)

"Proof:Proof":

probably should be

"Monotone" in general may be understood as "either increasing or decreasing"; it is meant "(momotonely) increasing" or "isotone".

"Proof:Proof":

"By assumption, there are injective functions (...) that induce..."

I'd say

"By assumption, there are injective functions (...); they induce..."

because the second part of the phrase is not a part of the assumption (but its consequence).

"Outline": the reader can guess what is denoted by f and g (or see the details), but we'd better let him know.

Boris Tsirelson 12:19, 5 October 2010 (UTC)