Since Kakashi has the left eye of Obito, and Obito has his right eye intact, after awakening the Mangekyō Sharingan, they both gain the ability of Kamui in their eyes.
Using Kamui, both are able to teleport things to the other dimension, though Obito does it far more easily than Kakashi, initially. My question is, since they are the same pair of eyes, which once belonged to a single person, do they share the same dimension?
Say, Obito captures someone and keeps them in the other dimension, can Kakashi bring them back, as they may share the same other dimension?