Multiabbildungen und Anordnungen der Mengen
We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra 𝓟(ω)/fin. We examine different types of such objects found in 𝓟(ω)/fin both from the combinatorial and the descriptive set-theoretic side.
Three complete characteristics of couples of nonadditive cuts such that are given. The equality is proved for all couples of nonadditive cuts. Some examples of nonadditive cuts are described.