Abstract In this article, we provide the epistemicentrenchment characterization of the weak version of Parikh’s relevance-sensitive axiom for belief revision — known as axiom (P) — for the general case of incomplete theories. Loosely speaking, axiom (P) states that, if a belief set K can be divided into two disjoint compartments, and the new information ? relates only to the first compartment, then the second compartment should not be affected by the revision of K by ?. The above-mentioned characterization, essentially, constitutes additional constraints on epistemicentrenchment preorders, that induce AGM revision functions, satisfying the weak version of Parikh’s axiom (P)