Embedding Cohen algebras using pcf theory
Fundamenta Mathematicae (2000)
- Volume: 166, Issue: 1-2, page 83-86
- ISSN: 0016-2736
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topShelah, Saharon. "Embedding Cohen algebras using pcf theory." Fundamenta Mathematicae 166.1-2 (2000): 83-86. <http://eudml.org/doc/212476>.
@article{Shelah2000,
abstract = {Using a theorem from pcf theory, we show that for any singular cardinal ν, the product of the Cohen forcing notions on κ, κ < ν, adds a generic for the Cohen forcing notion on $ν^+$.},
author = {Shelah, Saharon},
journal = {Fundamenta Mathematicae},
keywords = {set theory; pcf; forcing; pcf theory; singular cardinal; Cohen forcing; generic},
language = {eng},
number = {1-2},
pages = {83-86},
title = {Embedding Cohen algebras using pcf theory},
url = {http://eudml.org/doc/212476},
volume = {166},
year = {2000},
}
TY - JOUR
AU - Shelah, Saharon
TI - Embedding Cohen algebras using pcf theory
JO - Fundamenta Mathematicae
PY - 2000
VL - 166
IS - 1-2
SP - 83
EP - 86
AB - Using a theorem from pcf theory, we show that for any singular cardinal ν, the product of the Cohen forcing notions on κ, κ < ν, adds a generic for the Cohen forcing notion on $ν^+$.
LA - eng
KW - set theory; pcf; forcing; pcf theory; singular cardinal; Cohen forcing; generic
UR - http://eudml.org/doc/212476
ER -
References
top- [Mi91] A. Miller, Arnie Miller's problem list, in: H. Judah (ed.), Set Theory of the Reals, Israel Math. Conf. Proc. 6, Bar-Ilan Univ., Ramat Gan, 1993, 645-654. Zbl0828.03017
- [Za] J. Zapletal, Some results in set theory and Boolean algebras, PhD thesis, Penn State Univ., 1995.
- [Sh 355] S. Shelah, has a Jonsson algebra, in: Cardinal Arithmetic, Oxford Logic Guides, Chapter II, Oxford Univ. Press, 1994.
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