1992/09/16 by Avner Landver, Landver, Avner
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.math/9209207
openalex publication_date 1992/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let κ be a regular cardinal. Consider the Baire numbers of the spaces (2θ)κ (functions from θ to 2 and the less than κ topology) for various θ≥ κ. Let l be the number of such different Baire numbers. Models of set theory with l=1 or l=2 are known and it is also known that l is finite. We show here that if κ> ω, then l could be any given finite number. We do not know whether the same is true for κ= ω.