Talk:Shadowing lemma

"Formal statement" part
I think the formal statement for hyperbolic sets should be replaced. There have been proofs that deal with non-hyperbolic sets. one of which I have cited. I think the formal statement needs to be updated? -- Praharsh

Gandalf61, thanks for correcting my English!

However -- it seems to me that it's better to preserve "Shadowing lemma" as an "environment" around the statement. (In fact, in ruwiki, there are "Lemma" and "Theorem" environments; is there something alike in enwiki?)

One of the reasons is to separate the definition of the pseudo-orbit from the statement of the lemma: well, I was taught that a good style is to never give definitions _inside_ statements...

What do you think? --Burivykh (talk) 13:17, 24 May 2010 (UTC)