非常有利的空间
Very I-favorable spaces
摘要：
证明了T2空间$X$是非常$\mathrm I$ -有利的当且仅当$X$是由（不一定是Hausdorff）第二可数空间和满射d-开键映射组成的$σ$ -完备逆系统的几乎极限空间.证明了关于余零集的Tychonoff非常$\mathrm I$有利空间类与d-开生成空间类是一致的.
英文摘要：
We prove that a Hausdorff space $X$ is very $\mathrm I$-favorable if and only if $X$ is the almost limit space of a $σ$-complete inverse system consisting of (not necessarily Hausdorff) second countable spaces and surjective d-open bonding maps. It is also shown that the class of Tychonoff very $\mathrm I$-favorable spaces with respect to the co-zero sets coincides with the d-openly generated spaces.
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