Multiplication of nonadditive cuts in AST
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 61-73
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Three complete characteristics of couples of nonadditive cuts such that $\underline{J\times K}\neq\overline{Jtimes K}$ 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.
Classification :
03E10, 03E70, 03H05, 03H15
Keywords: alternative set theory; cuts of natural numbers; inner and outer cut of a class; inner and outer product of two cuts; logarithmical cut
Keywords: alternative set theory; cuts of natural numbers; inner and outer cut of a class; inner and outer product of two cuts; logarithmical cut
@article{CMUC_1991__32_1_a7,
author = {\v{C}uda, Karel},
title = {Multiplication of nonadditive cuts in {AST}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {61--73},
publisher = {mathdoc},
volume = {32},
number = {1},
year = {1991},
mrnumber = {1118290},
zbl = {0735.03024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_1_a7/}
}
Čuda, Karel. Multiplication of nonadditive cuts in AST. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 61-73. http://geodesic.mathdoc.fr/item/CMUC_1991__32_1_a7/