PCF and infinite free subsets in an algebra

Archive for Mathematical Logic

Volumn 41, Issue 4, 2002, Pages 321-359

  Shelah, Saharon ^a,b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036590691     PISSN: 09335846     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001530100101     Document Type: Article

References (15)

1. [FShS 543] Fuchino, S., Shelah, S., Soukup, L.: On a theorem of Shapiro. Mathematica Japonica, 40, 199-206 math. LO/9405215 (1994)
2. [GHS] Gerlits, J., Hajnal, A., Szentmiklossy, Z.: On the cardinality of certain Hausdorff spaces. Discrete Mathematics, 108, 31-35 Topological, algebraical and combinatorial structures. Frolik's Memorial Volume (1992)
3. [Sh:E11] Shelah, S.: Also quite large b ⊆ pcf(a) behave nicely math. LO/9906018
4. [Sh 589] Shelah, S.: Applications of PCF theory. Journal of Symbolic Logic, 65, 1624-1674. math. LO/9804155 (2000)
5. [Sh 282] Shelah, S.: Successors of singulars, cofinalities of reduced products of cardinals and productivity of chain conditions. Israel Journal of Mathematics, 62, 213-256 (1988)
6. [Sh 420] Shelah, S.: Advances in Cardinal Arithmetic. In Finite and Infinite Combinatorics in Sets and Logic, pages 355-383. Kluwer Academic Publishers, N.W. Saner et al (eds.) (1993)
7. [Sh 410] Shelah, S.: More on Cardinal Arithmetic. Archive for Mathematical Logic, 32, 399-428 (1993)
8. [Sh 371] Shelah, S.: Advanced: cofinalities of small reduced products. In Cardinal Arithmetic, volume 29 of Oxford Logic Guides, chapter VIII. Oxford University Press, (1994)
9. ω+1 has a Jonsson Algebra. In Cardinal Arithmetic, volume 29 of Oxford Logic Guides, chapter II. Oxford University Press, (1994)
10. [Sh:g] Shelah, S.: Cardinal Arithmetic, volume 29 of Oxford Logic Guides. Oxford University Press, (1994)
11. [Sh 400] Shelah, S.: Cardinal Arithmetic. In Cardinal Arithmetic, volume 29 of Oxford Logic Guides, chapter IX. Oxford University Press, Note: See also [Sh400a] below (1994)
12. [Sh 430] Shelah, S.: Further cardinal arithmetic. Israel Journal of Mathematics, 95, 61-114 math.LO/9610226 (1996)
13. cf(μ)μ, Boolean Algebras and Maharam measure Algebras. Topology and its Applications, 99, 135-235 8th Prague Topological Symposium on General Topology and its Relations to Modern Analysis and Algebra, Part II (1996). math.LO/9804156 (1999)
14. [Sh 460] Shelah, S.: The Generalized Continuum Hypothesis revisited. Israel Journal of Mathematics, 116, 285-321 math.LO/9809200 (2000)
15. [ShZa561] Shelah, S., Zapletal, J.: Embeddings of Cohen algebras. Advances in Mathematics, 126(2), 93-118 math. LO/9502230 (1997)