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