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Finite combinations of Baire numbers
Authors:Avner Landver
Affiliation:(1) Department of Mathematics, The University of Kansas, 66045 Lawrence, KS, USA
Abstract:Letκ be a regular cardinal. Consider the Bair numbers of the spaces (2θ)κ for variousθκ. Letl be the number of such different Baire numbers. Models of set theory withl=1 orl=2 are known and it is also known thatl is finite. We show here that ifκ>ω, thenl could be any given finite number.
Keywords:
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