值为盒积的分离连续映射的对角线
Diagonals of separately continuous maps with values in box products
摘要：
证明了：若$X$是仿紧连通空间，且$Z=\prod_{s\in S}Z_s$是一类赋箱拓扑的等连通可度量化空间的乘积，则对每一个Bare-one映射$g:X\to Z$，存在一个分别连续的映射$f:X^2\to Z$，使得对每一个$x\in X$，都有$f(x,x)=g(x)$.
英文摘要：
We prove that if $X$ is a paracompact connected space and $Z=\prod_{s\in S}Z_s$ is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map $g:X\to Z$ there exists a separately continuous map $f:X^2\to Z$ such that $f(x,x)=g(x)$ for all $x\in X$.
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