# 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, ${\aleph}_{\omega}+1$ has a Jonsson algebra, in: Cardinal Arithmetic, Oxford Logic Guides, Chapter II, Oxford Univ. Press, 1994.