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Multiple gaps

Antonio Avilés, Stevo Todorcevic (2011)

Fundamenta Mathematicae

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.

Multiplication of nonadditive cuts in AST

Karel Čuda (1991)

Commentationes Mathematicae Universitatis Carolinae

Three complete characteristics of couples of nonadditive cuts such that J × K ̲ J t i m e s K ¯ are given. The equality J × K ¯ = J ! K is proved for all couples of nonadditive cuts. Some examples of nonadditive cuts are described.

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