=+8.22. 1 Let T be the set of transient states and define persistent states i and j (if there are any) to be equivalent if f ,, > 0. Show that this is an equivalence relation on S - T and decomposes it into equivalence classes C1, C2, ..., so that S - TUC, UC2 U ... . Show that each C ., is closed and that f ., = 1 for i and j in the same Cm.