Borel classes in AST. Measurability, cuts and equivalence

Martin Kalina; Pavol Zlatoš

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 2, page 357-372
  • ISSN: 0010-2628

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Kalina, Martin, and Zlatoš, Pavol. "Borel classes in AST. Measurability, cuts and equivalence." Commentationes Mathematicae Universitatis Carolinae 030.2 (1989): 357-372. <http://eudml.org/doc/17746>.

@article{Kalina1989,
author = {Kalina, Martin, Zlatoš, Pavol},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {measure; real class; lower cut; upper cut; Borel equivalence; Borel cardinal; Borel classes; alternative set theory; Cantor-Bernstein theorem},
language = {eng},
number = {2},
pages = {357-372},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Borel classes in AST. Measurability, cuts and equivalence},
url = {http://eudml.org/doc/17746},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Kalina, Martin
AU - Zlatoš, Pavol
TI - Borel classes in AST. Measurability, cuts and equivalence
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 2
SP - 357
EP - 372
LA - eng
KW - measure; real class; lower cut; upper cut; Borel equivalence; Borel cardinal; Borel classes; alternative set theory; Cantor-Bernstein theorem
UR - http://eudml.org/doc/17746
ER -

References

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  2. Čuda K., [unknown], private correspondence. 
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  4. Čuda K., Vopěnka P., Real and imaginary classes in the Alternative set theory, Comment. Math. Univ. Carolinae 20 (1979), 639-653. (1979) Zbl0433.03031MR0555180
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  6. Guričan J., Zlatoš P., Archimedean and geodotical biequivalences, Comment. Math. Univ. Carolinae 26 (1985), 675-698. (1985) Zbl0593.54056MR0831804
  7. Henson C. W., Descriptive set theory on hyperflnite sets, lecture at the Conference Anwendungen der Infinitesimalmathematik, Oberwolfach, 1987. (1987) 
  8. Henson C. W., Ross D., [unknown], oral commucation, 1987. (1987) 
  9. Kalina M., A sequential approach to a construction of measures, Comment. Math. Univ. Carolinae 30 (1989), 121-128. (1989) Zbl0672.28007MR0995710
  10. Kalina M., Zlatoš P., Arithmetics of cuts and cuts of classes, Comment. Math. Univ. Carolinae 29 (1988), 435-456. (1988) Zbl0658.03032MR0972828
  11. Kalina M., Zlatoš P., Cuts of real classes, Comment. Math. Univ. Carolinae 30 (1989), 129-136. (1989) Zbl0672.03037MR0995711
  12. Loeb P., Conversion from nonstandard to standard measure spaces and applications in probability theory, Trans. Amer. Math. Soc. 211 (1975), 113-122. (1975) Zbl0312.28004MR0390154
  13. Raškovič M., Measure and integration in the Alternative set theory, Publications de l'Inst. Math. 29 (1981), 191-197. (1981) Zbl0559.28002MR0657107
  14. Sochor A., Vencovská A., Indiscernibles in the Alternative set theory, Comment. Math. Univ. Carolinae 22 (1981), 785-798. (1981) Zbl0493.03029MR0647026
  15. Sochor A., Vopěnka P., Revealments, Comment. Math. Univ. Carolinae 21 (1980), 97-118. (1980) Zbl0428.03049MR0566243
  16. Tzouvaras A., A notion of measures for classes in AST, Comment. Math. Univ. Carolinae 28 (1987), 449-455. (1987) Zbl0629.03033MR0912575
  17. Vopěnka P., Mathematics in the Alternative Set Theory, Teubner, Leipzig 1979; Russian translation Mir, Moscow 1983. (1979) Zbl0499.03042MR0718490

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