Many simple cardinal invariants

Martin Goldstern; Saharon Shelah

doi:10.1007/BF01375552

Many simple cardinal invariants

Martin Goldstern
, Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

36 Scopus citations

Abstract

For g<f in ω^ω we define c(f,g) be the least number of uniform trees with g-splitting needed to cover a uniform tree with f-splitting. We show that we can simultaneously force א₁ many different values for different functions (f,g). In the language of [B1]: There may be א₁ many distinct uniform II₁¹ characteristics.

Original language	English
Pages (from-to)	203-221
Number of pages	19
Journal	Archive for Mathematical Logic
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/BF01375552
State	Published - May 1993

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abstract = "For gω we define c(f,g) be the least number of uniform trees with g-splitting needed to cover a uniform tree with f-splitting. We show that we can simultaneously force א1 many different values for different functions (f,g). In the language of [B1]: There may be א1 many distinct uniform II11 characteristics.",

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Many simple cardinal invariants

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