Abstract:

For a prime element r of a frame L, a concrete functor Ir on the category L-Top is introduced. The composition of the stratifiorm Lowen functors ωrL and ιrL is proved, and its some applications are given. Finally, the relationship between it and Rodabaugh′s stratification functor GLk is studied.

Key words: the category of L-topological spaces; Ir-functor; stratifiorm Lowen functor