Other names for the domain and range-straightening theorems?

[quasar987]

I'm trying to find the wiki page (if it exists) on the domain-straightening theorem and the range-straightening theorem but searches for those words produce no results.

I've also seen those theorems by the name of "canonical forms for submersion and immersion" (in Gallot-Lafontaine-Hullin), which produces no result either.

 

[Ryker]

Bumping this thread, because I am in the same situation as the OP, and since I also haven't found anything. Well, I guess the one thing I found was http://en.wikipedia.org/wiki/Straightening_theorem_for_vector_fields, but that wasn't quite what I was looking for. I namely stumbled upon this theorem in real analysis, and while it seems similar to what the wikipedia page has there, it's still not the same.

 

[Stephen Tashi]

Neither post gives a hint about the mathematical context for the theorems. Is the question specifically about a Wikipedia page or will something like this: http://ocw.mit.edu/courses/mathematics/18-101-analysis-ii-fall-2005/lecture-notes/lecture30.pdf do?