The Dreamscape is a single demiplane related to the Prime Material. To travel through the Dreamscape, one must first locate a nexus in their realm. There are 9 nexxi in Sol'Lanar, each one on Lat'Lanar. The lines you see on the map are the paths through which the nexxi lead. Some were created by mages, others by the gods, and some have existed since the beginning of time. The mages also created small realms to assist their travel between realms, these are known collectively as "Sol'Argat"(bridge realm).
The boxes that are on some paths indicate that these nexxi have been blocked and cannot be used. There are many blocked nexxi to Sol'Harnus, for the gods to not want visitors. The blocked nexus in Sol'Lanar is that from the Arcane Caen'Telim, and the arcanists are trying to devise ways to reopen it.