| Title:
|
Multiplication of nonadditive cuts in AST (English) |
| Author:
|
Čuda, Karel |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
61-73 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
alternative set theory |
| Keyword:
|
cuts of natural numbers |
| Keyword:
|
inner and outer cut of a class |
| Keyword:
|
inner and outer product of two cuts |
| Keyword:
|
logarithmical cut |
| MSC:
|
03E10 |
| MSC:
|
03E70 |
| MSC:
|
03H05 |
| MSC:
|
03H15 |
| idZBL:
|
Zbl 0735.03024 |
| idMR:
|
MR1118290 |
| . |
| Date available:
|
2008-10-09T13:11:03Z |
| Last updated:
|
2012-08-08 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116943 |
| . |
| Reference:
|
[KZ 1988] Kalina M., Zlatoš P.: Arithmetics of cuts and cuts of classes.Comment. Math. Univ. Carolinae 29 (1988), 435-456. MR 0972828 |
| Reference:
|
[KZ 1989] Kalina M., Zlatoš P.: Cuts of real classes.Comment. Math. Univ. Carolinae 30 (1989), 129-136. MR 0995711 |
| Reference:
|
[S 1988] Sochor A.: Addition of initial segments I.Comment. Math. Univ. Carolinae 29 (1988), 501-517. Zbl 0658.03030, MR 0972833 |
| Reference:
|
[SV 1979] Sochor A., Vopěnka P.: Endomorphic universes and their standard extensions.Comment. Math. Univ. Carolinae 20 (1979), 605-629. MR 0555178 |
| Reference:
|
[SV 1980] Sochor A., Vopěnka P.: Revealments.Comment. Math. Univ. Carolinae 21 (1980), 97-118. MR 0566243 |
| Reference:
|
[Tz 1987] Tzouvaras A.: A notion of measure for classes in AST.Comment. Math. Univ. Carolinae 28 (1987), 449-455. Zbl 0629.03033, MR 0912575 |
| Reference:
|
[Tz 1988] Tzouvaras A.: Correction to the paper Tz 1987.Comment. Math. Univ. Carolinae 29 (1988), 393. MR 0957408 |
| . |
