## Karel \v Cuda

*Multiplication of nonadditive cuts in AST *

Comment.Math.Univ.Carolinae 32,1 (1991) 61-73. **Abstract:**Three complete characteristics of couples of nonadditive cuts such that $\underline {J\times K}\neq \overline {J\times K}$ are given. The equality $\overline {J\times K}=J ! K$ is proved for all couples of nonadditive cuts. Some examples of nonadditive cuts are described.

**Keywords:** alternative set theory, cuts of natural numbers, inner and outer cut of a class, inner and outer product of two cuts, logarithmical cut

**AMS Subject Classification:** Primary 03H05; Secondary 03E10

PDF