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Many simple cardinal invariants

Martin Goldstern, Saharon Shelah

math.LOarXiv:math/9205208

Abstract

For g < f in omegaomega 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 aleph1 many different values for different functions (f,g). In the language of Blass: There may be aleph1 many distinct uniform Pi01 characteristics.

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