Eberly College of Arts and Sciences
We investigate algebras of sets, and pairs (A,I) consisting of an algebra A and an ideal I, which is a subset of A, that possess an inner MB-representation. We compare inner MB-representability of (A,I) with several properties of (A,I) considered by Baldwin. We show that A is inner MB-representable if and only if A =S(A \ H (A)), where S(.) is a Marczewski operation defined below and H consists of sets that are hereditarily in A. We study uniqueness issue of the ideal in that representation.
Digital Commons Citation
Ciesielski, Krzysztof, "Algebras with inner MB-representation" (2004). Faculty & Staff Scholarship. 840.