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math.LO2000
The splitting number can be smaller than the matrix chaos number
Heike Mildenberger, Saharon Shelah
Let chi be the minimum cardinal of a subset of 2^omega that cannot be made convergent by multiplication with a single Toeplitz matrix. By an application of creature forcing we show…
math.LO2000
The relative consistency of g<cf(Sym(omega))
Heike Mildenberger, Saharon Shelah
We prove the consistency result from the title. By forcing we construct a model of g=aleph_1, b=cf(Sym(omega))=aleph_2.