How do time and space exist?

I have a questions and I hope someone could help. Regarding time and space, I have seen different views: do they exist independently of our mind perceiving them, or is that all mind (inside mind)? I would love to hear both views Mahayana and Theravada. I really want to understand what they say, about time both existing subjectively in the mind or outside in the World -- and same about space, is it inside our mind or does it exist outside our mind independently? I think Theravada Buddhism doesn't say anything about time or space -- I may be wrong, hope somebody could clarify it, I want to be clear. But isn't it important to understand what kind of relation time have to impermanence? In the Mahayana tradition Nagarjuna's theory seems to say that time is dependently arisen just as any phenomena and therefore doesn't exist. Does he mean that time doesn't exist subjectively in our mind, or does he mean that time doesn't exist for the universe? In my opinion, Mahayana's view of reality is that subject-object inter-are -- while Theravada does not talk about the nature of the universe, but instead focuses on what the cause and cessation of suffering is, without saying anything about time -- but isn't that important to understand for liberation? If there is nothing about in the scriptures then I will accept it and no problem, but I just want to know.