Has anyboy ever considered the possibility of the two sub-ta'veren being in any way important? I have, and have this to say... Rand, Perrin and Mat are the three facets of the Dragon Reborn. Each one is in fact not the true Dragon Reborn, but a facet of his resurrected soul.

Consider the evidence - tDR, the attack on the camp in the Misty Mountains by Trollocs and two Myrdraal. One of the Myrdraal attacks Perrin and says "Cut one of the legs and the whole tripod falls". Every instance that Rand feels mysteriously that he needs the other two, or that they feel he needs them. What drew Perrin away from his new found happiness in the two rivers at the end of tFoH, or kept Mat by Rand's side through tSR and tFoH until it was too late for him to leave by his own will?