The partial converse 2 is given below:
And the question is given below:
1-I am wondering why this problem considered as an extension of partial converse 2? could anyone answer this question for me please?
2-Also I know to solve 1.4.4 I should start by proving the second equality first because it is part of the first one but I do not know how to do this, could anyone help me in the proof please?
Also I have found 2 questions related to this part on this site, which are:
GP 1.4.4 An extension of partial converse of preimage theorem.
And Partial Converse 2 in Guillemin Pollack (Page 24)
In the first link I do not know the theorem that he applied, he called it "the domain-straightening theorem?" and I searched for it and did not found it , could anyone clarify this for me please?