For what filters is every reduced product saturated?

Saharon Shelah

doi:10.1007/BF02764810

For what filters is every reduced product saturated?

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper we shall characterize the filters D such that for every M_i, M_i,Π_i∈I M_i/D is λ-saturated (where λ>א₀). The characterization is:D is λ-good, D is א₀ incomplete and S(I)/D is λ-saturated.

Original language	English
Pages (from-to)	23-31
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	12
Issue number	1
DOIs	https://doi.org/10.1007/BF02764810
State	Published - Mar 1972

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10.1007/BF02764810

Cite this

@article{effdcb5c61814e4e800aec289cfde09b,

title = "For what filters is every reduced product saturated?",

abstract = "In this paper we shall characterize the filters D such that for every M i, M i,Πi∈I Mi/D is λ-saturated (where λ>א0). The characterization is:D is λ-good, D is א0 incomplete and S(I)/D is λ-saturated.",

author = "Saharon Shelah",

year = "1972",

month = mar,

doi = "10.1007/BF02764810",

language = "אנגלית",

volume = "12",

pages = "23--31",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",