Bachman : A geometric approach to differential forms

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mrslamovics
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Forms and basis in TpC (page 18)
Hi All!
First of all , sorry for my English :)
In Bachman's book, on page 18, a vector in the tangent space is written in the form dx(0,1)+dy(1,0). Why is it not written the other way around, so why isn’t dx(1,0)+dy(0,1) the correct expression? Thank you.
 
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