A classification of definable forcings on ω1

Jindřich Zapletal

Fundamenta Mathematicae (1997)

  • Volume: 153, Issue: 2, page 141-144
  • ISSN: 0016-2736

Abstract

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Under the assumption of the existence of sharps for reals all simply definable posets on ω 1 are classified up to forcing equivalence.

How to cite

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Zapletal, Jindřich. "A classification of definable forcings on ω1." Fundamenta Mathematicae 153.2 (1997): 141-144. <http://eudml.org/doc/212218>.

@article{Zapletal1997,
abstract = {Under the assumption of the existence of sharps for reals all simply definable posets on $ω_1$ are classified up to forcing equivalence.},
author = {Zapletal, Jindřich},
journal = {Fundamenta Mathematicae},
keywords = {simply definable posets on ; existence of sharps for reals; forcing equivalence},
language = {eng},
number = {2},
pages = {141-144},
title = {A classification of definable forcings on ω1},
url = {http://eudml.org/doc/212218},
volume = {153},
year = {1997},
}

TY - JOUR
AU - Zapletal, Jindřich
TI - A classification of definable forcings on ω1
JO - Fundamenta Mathematicae
PY - 1997
VL - 153
IS - 2
SP - 141
EP - 144
AB - Under the assumption of the existence of sharps for reals all simply definable posets on $ω_1$ are classified up to forcing equivalence.
LA - eng
KW - simply definable posets on ; existence of sharps for reals; forcing equivalence
UR - http://eudml.org/doc/212218
ER -

References

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  1. [B] J. Baumgartner, Applications of the proper forcing axiom, in: Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan (eds.), North-Holland, Amsterdam, 1984, 913-959. 
  2. [BJZ] B. Balcar, T. Jech and J. Zapletal, Generalizations of Cohen algebras, Ann. Pure Appl. Logic, to appear. Zbl0886.03036
  3. [J] T. Jech, Set Theory, Academic Press New York, 1978. 
  4. [JS] T. Jech and S. Shelah, Possible PCF algebras, J. Symbolic Logic 61 (1996), 313-318. 
  5. [K] S. Koppelberg, Characterization of Cohen algebras, in: Papers on General Topology and Applications, S. Andima, R. Kopperman, P. R. Misra and A. R. Todd (eds.), Ann. New York Acad. Sci. 704, 1993, 227-237. Zbl0830.06006
  6. [S] S. Shelah, Proper Forcing, Springer, New York, 1982. 
  7. [T] S. Tennenbaum, Souslin's problem, Proc. Nat. Acad. Sci. U.S.A. 59 (1968), 60-63. Zbl0172.29503
  8. [Z] J. Zapletal, Characterization of the club forcing, in: Papers on General Topology and Applications, S. Andima, R. C. Flagg, G. Itzkowitz, Y. Kong, R. Kopperman and P. Misra (eds.), Ann. New York Acad. Sci. 806, 1996, 476-484. Zbl0886.03037

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