Arithmetic of cuts and cuts of classes

Martin Kalina; Pavol Zlatoš

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 3, page 435-456
  • ISSN: 0010-2628

How to cite

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Kalina, Martin, and Zlatoš, Pavol. "Arithmetic of cuts and cuts of classes." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 435-456. <http://eudml.org/doc/17657>.

@article{Kalina1988,
author = {Kalina, Martin, Zlatoš, Pavol},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {real class; Alternative Set Theory; natural numbers; arithmetical operations; cuts},
language = {eng},
number = {3},
pages = {435-456},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Arithmetic of cuts and cuts of classes},
url = {http://eudml.org/doc/17657},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Kalina, Martin
AU - Zlatoš, Pavol
TI - Arithmetic of cuts and cuts of classes
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 435
EP - 456
LA - eng
KW - real class; Alternative Set Theory; natural numbers; arithmetical operations; cuts
UR - http://eudml.org/doc/17657
ER -

References

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  1. K. ČUDA B. KUSSOVÁ, Basic equivalences in the Alternative Set Theory, Comment. Math. Univ. Carolinae 23, 629-644. MR0687559
  2. K. ČUDA P. VOPĚNKA, Real and imaginary classes in the Alternative Set Theory, Comment. Math. Univ. Carolinae 20, 639-653. MR0555180
  3. G. GRÄTZER, Universal Algebra, Springer, Berlin. MR0538623
  4. A. SOCHOR, Addition of initial segments I, II, Comment. Math. Univ. Carolinae 29, 3 (1988), 501-517; 519-528. (1988) MR0972833
  5. A. SOCHOR A. VENCOVSKÁ, Indiscernibles in the Alternative Set Theory, Comment. Math. Univ. Carolinae 22, 785-798. MR0647026
  6. A. TZOUVARAS, A notion of measure for classes in AST, Comment. Math. Univ. Carolinae 28, 449-455. Zbl0646.03050MR0912575
  7. P. VOPĚNKA, The lattice of indiscernibility equivalences, Comment. Math. Univ. Carolinae 20, 631-638. MR0555179
  8. P. VOPĚNKA, Mathematics in the Alternative Set Theory, Teubner, Leipzig 1979; Russian translation, Mir, Moscow 1983. (1979) MR0718490

Citations in EuDML Documents

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  1. Karel Čuda, Multiplication of nonadditive cuts in AST
  2. J. Náter, P. Pulmann, Pavol Zlatoš, Dimensional compactness in biequivalence vector spaces
  3. Miroslav Šmíd, Pavol Zlatoš, Biequivalence vector spaces in the alternative set theory
  4. Martin Kalina, Probability in the alternative set theory
  5. Martin Kalina, A sequential approach to a construction of measures
  6. Martin Kalina, Pavol Zlatoš, Cuts of real classes
  7. Martin Kalina, Pavol Zlatoš, Some connections between measure, indiscernibility and representation of cuts
  8. Martin Kalina, Pavol Zlatoš, Borel classes in AST. Measurability, cuts and equivalence

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