Hello,

i have a short question about the sum of two 1-forms.

We have defined a 1-form w by a pair of smooth functions p,q and we write:

w:=p dx + q dy.

Later we have use the sum of two 1-forms $\displaystyle w_1+w_2$, without any definition.

How is the definition of this. Is it just: $\displaystyle

w_1+w_2:= (p_1+p_2) dx + (q_1+q_2) dy

$

if $\displaystyle w_1=p_1 dx + q_1 dy

$

and $\displaystyle w_2=p_2 dx + q_2 dy ?

$

Sorry, if this question is trivial for you, but i'm beginner in topology.

Thank you for helping.