I am reading a paper now that refers to an "interval" in $\mathbb{R}^{[0,1]}$. But what does interval here refer to? Does this mean there is some ordering of the elements in $\mathbb{R}^{[0,1]}$? I am assuming there is some default ordering there, inherited from the ordering of $\mathbb{R}$.
If you have any reference that can help me on this matter, I will appreciate if you share it with me. Thank you.