Forcing in the alternative set theory. I

Jiří Sgall

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 2, page 323-337
  • ISSN: 0010-2628

Abstract

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The technique of forcing is developed for the alternative set theory (AST) and similar weak theories, where it can be used to prove some new independence results. There are also introduced some new extensions of AST.

How to cite

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Sgall, Jiří. "Forcing in the alternative set theory. I." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 323-337. <http://eudml.org/doc/247249>.

@article{Sgall1991,
abstract = {The technique of forcing is developed for the alternative set theory (AST) and similar weak theories, where it can be used to prove some new independence results. There are also introduced some new extensions of AST.},
author = {Sgall, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {alternative set theory; forcing; generic extension; symmetric extension; axiom of constructibility; alternative set theory; axiom of constructibility; forcing; generic extensions; symmetric extensions; iterated forcing},
language = {eng},
number = {2},
pages = {323-337},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Forcing in the alternative set theory. I},
url = {http://eudml.org/doc/247249},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Sgall, Jiří
TI - Forcing in the alternative set theory. I
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 323
EP - 337
AB - The technique of forcing is developed for the alternative set theory (AST) and similar weak theories, where it can be used to prove some new independence results. There are also introduced some new extensions of AST.
LA - eng
KW - alternative set theory; forcing; generic extension; symmetric extension; axiom of constructibility; alternative set theory; axiom of constructibility; forcing; generic extensions; symmetric extensions; iterated forcing
UR - http://eudml.org/doc/247249
ER -

References

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  1. Sochor A., Metamathematics of the Alternative set theory I, Comment. Math. Univ. Carolinae 20 (1979), 697-722. (1979) Zbl0433.03028MR0555184
  2. Sochor A., Metamathematics of the Alternative set theory II, Comment. Math. Univ. Carolinae 23 (1982), 55-79. (1982) Zbl0493.03030MR0653351
  3. Sochor A., Constructibility and shiftings of view, Comment. Math. Univ. Carolinae 26 (1985), 477-498. (1985) Zbl0583.03040MR0817822
  4. Sochor A., Scheme of choice in higher order arithmetics, to appear. 
  5. Vopěnka P., Mathematics in the Alternative Set Theory, Leipzig, 1979. MR0581368

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