Some connections between measure, indiscernibility and representation of cuts

Martin Kalina; Pavol Zlatoš

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 751-763
  • ISSN: 0010-2628

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Kalina, Martin, and Zlatoš, Pavol. "Some connections between measure, indiscernibility and representation of cuts." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 751-763. <http://eudml.org/doc/17896>.

@article{Kalina1990,
author = {Kalina, Martin, Zlatoš, Pavol},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {alternative set theory; cuts of classes; Loeb measure; Lebesgue measure; indiscernibility equivalence; generalised nearness; cuts of natural numbers; Borel class; real classes; normal ring},
language = {eng},
number = {4},
pages = {751-763},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some connections between measure, indiscernibility and representation of cuts},
url = {http://eudml.org/doc/17896},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Kalina, Martin
AU - Zlatoš, Pavol
TI - Some connections between measure, indiscernibility and representation of cuts
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 751
EP - 763
LA - eng
KW - alternative set theory; cuts of classes; Loeb measure; Lebesgue measure; indiscernibility equivalence; generalised nearness; cuts of natural numbers; Borel class; real classes; normal ring
UR - http://eudml.org/doc/17896
ER -

References

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  1. Čuda K., Nestandardní teorie polomnožin, Praha, CSc.-thesis. 
  2. Čuda K., The consistency of the measurability of projective semisets, Comment. Math. Univ. Carolinae 27 (1986), 103-121. (1986) MR0843424
  3. Čuda K., Measurement, in: J. Mlček et al. (ed.), Proceedings of the 1st Symposium Mathematics in the Alternative Set Theory, Association of Slovak Mathematics and Physicists, Bratislava, pp. 121-131. 
  4. Čuda K., Vopěnka P., Real and imaginary classes in the Alternative Set Theory, Comment. Math. Univ. Carolinae 20 (1979), 639-653. (1979) MR0555180
  5. Kalina M., Zlatoš P., Arithmetic of cuts and cuts of classes, Comment. Math. Univ. Carolinae 29 (1988), 435-456. (1988) MR0972828
  6. Kalina M., Zlatoš P., Cuts of real classes, Comment. Math. Univ. Carolinae 30 (1989), 129-136. (1989) MR0995711
  7. Kalina M., Zlatoš P., Borel Classes in AST. Measurability, cuts and equivalence, Comment. Math. Univ. Carolinae 30 (1989), 357-372. (1989) MR1014135
  8. Loeb P. A., Conversion from nonstandard to standard measure spaces and applications in probability theory, Trans. AMS 211, 113-122. Zbl0312.28004MR0390154
  9. Raškovič M., Measure and integration in the Alternative Set Theory, Publications de'l Institut Math. 29 (43), 191-197. MR0657107
  10. Sochor A., Addition of initial segments I, Comment. Math. Univ. Carolinae 29 (1988), 501-517. (1988) Zbl0658.03030MR0972833
  11. Vopěnka P., Mathematics in the Alternative Set Theory, Teubner, Leipzig 1979. (1979) MR0581368

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