ON 2 TYPES OF STABLE SUBCONSTRUCTS OF FTS

In the topological construct FTS of fuzzy topological spaces and conti nuous functions, the subconstructs T-FLS, of fuzzy T-locality spaces, and T-FNS, of fuzzy T-neighbourhood spaces, are simultaneously birefle ctive and bicoreflective in FTS; for certain infinite sets of triangul ar norms T. We identify their stabilizing, total fuzzy topologies Omeg a(T-FLS) and Omega(T-FNS) on [0, 1]; in the sense of Lowen and Wuyts ( 1993). (The special case of T = Min has already been dealt with by Low en and Wuyts.) We also establish a symmetrically defined, order-revers ing bijection between Omega(T-FNS) and a basis for Omega(T-FLS).