Diff$_+(\mathbb{T})$ is the space of orientation-preserving diffeomorphisms on the circle. Then is it true that it is connected?
I have looked through the similar questions on here, but seem to find no clear motivation, so far by reading through the sources of some of the post I have concluded that this statement is true. But I cannot seem to find any good motivation as to why.
If somebody could please refer me to a text where this is shown or describe it that would be great.
Thanks!