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Indestructibly productively Lindel\"of and Menger function spaces. (arXiv:1810.04497v1 [math.GN])
来源于:arXiv
For a Tychonoff space $X$ and a family $\lambda$ of subsets of $X$, we denote
by $C_{\lambda}(X)$ the $T_1$-space of all real-valued continuous functions on
$X$ with the $\lambda$ -open topology. A topological space is productively
Lindel\"of if its product with every Lindel\"of space is Lindel\"of. A space is
indestructibly productively Lindel\"of if it is productively Lindel\"of in any
extension by countably closed forcing. In this paper, we study indestructibly
productively Lindel\"of and Menger function space $C_{\lambda}(X)$. 查看全文>>