Models of AST without choice

Karel Čuda; Blanka Vojtášková

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 4, page 555-589
  • ISSN: 0010-2628

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Čuda, Karel, and Vojtášková, Blanka. "Models of AST without choice." Commentationes Mathematicae Universitatis Carolinae 025.4 (1984): 555-589. <http://eudml.org/doc/17342>.

@article{Čuda1984,
author = {Čuda, Karel, Vojtášková, Blanka},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {basic equivalence; fully revealed class; endomorphic universe; standard extension; ultraproduct; alternative set theory; axiom of choice; weak choice},
language = {eng},
number = {4},
pages = {555-589},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Models of AST without choice},
url = {http://eudml.org/doc/17342},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Čuda, Karel
AU - Vojtášková, Blanka
TI - Models of AST without choice
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 4
SP - 555
EP - 589
LA - eng
KW - basic equivalence; fully revealed class; endomorphic universe; standard extension; ultraproduct; alternative set theory; axiom of choice; weak choice
UR - http://eudml.org/doc/17342
ER -

References

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  1. P. VOPĚNKA, Mathematics in the Alternative Set Theory, Teubner-Texte, Leipzig 1979. (1979) MR0581368
  2. K. ČUDA B. KUSSOVÁ, Basic equivalences in the alternative set theory, Comment. Math. Univ. Carolines 23 (1982), 629-644. (1982) MR0687559
  3. K. ČUDA B. KUSSOVÁ, Monads in basic equivalences, Comment. Math. Univ. Carolinae 24 (1983), 437-452. (1983) MR0730139
  4. A. SOCHOR P. VOPĚNKA, Endomorphic universes and their standard extensions, Comment. Math. Univ. Carolinae 20 (1979), 605-629. (1979) MR0555178
  5. K. ČUDA P. VOPĚNKA, Real and imaginary classes in the alternative set theory, Comment. Math. Univ. Carolinae 20 (1979), 639-653. (1979) MR0555180
  6. A. SOCHOR, Metamathematics of the alternative set theory I, Comment. Math. Univ. Carolinae 20 (1979), 697-722. (1979) Zbl0433.03028MR0555184
  7. A. SOCHOR P. VOPĚNKA, The axiom of reflection, Comment. Math. Univ. Carolinae 22 (1981), 689-699. (1981) MR0647017
  8. A. VENCOVSKÁ, Independence of the axiom of choice in the alternative set theory, Open days in model theory and set theory, Proceedings of a conference held in September 1981 at Jadwisin; W. Guzicki, W. Marek, A. Pelc, C. Rauszer (Leeds 1984). (1981) 
  9. G. CHERLING J. HIRSCHELD, Ultrafliters and ultraproducts in non-standard analysis, Contributions to Non-Standard Analysis, Studies in Logic, vol. 69, North-Holl. Publ. Company, 261-279. MR0485344

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