具有解析图的函数的Solecki二分性
The Solecki dichotomy for functions with analytic graphs
摘要:
一个二分法发现Solecki说,一个Baire类1功能从一个Souslin空间到一个波兰空间要么可以分解成可数许多连续函数,否则包含一个特定的功能,不能这样分解。在本文中,我们推广这种二分法任意函数的解析图。我们提供了一个“经典”的证明,它只使用初等组合学和拓扑。
英文摘要:
A dichotomy discovered by Solecki says that a Baire class 1 function from a Souslin space into a Polish space either can be decomposed into countably many continuous functions, or else contains one particular function which cannot be so decomposed. In this paper we generalize this dichotomy to arbitrary functions with analytic graphs. We provide a "classical" proof, which uses only elementary combinatorics and topology.
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