Baire数的有限组合
Finite Combinations of Baire Numbers
摘要：
设$κ$是正则基数。考虑空间$(2^θ)_κ$（从$θ$到2的函数和小于$κ$拓扑）对于各种$θ\geq κ$的Baire数。设l为不同贝尔数的个数。具有l=1或l=2的集合论模型是已知的，并且还已知l是有限的。证明了如果$κ> ω$，则l可以是任意给定的有限数.我们不知道$κ= ω$是否也是如此。
英文摘要：
Let $κ$ be a regular cardinal. Consider the Baire numbers of the spaces $(2^θ)_κ$ (functions from $θ$ to 2 and the less than $κ$ topology) for various $θ\geq κ$. 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 $κ= ω$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
