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Products of monotonically normal spaces with factors defined by topological games

机译：具有拓扑游戏定义的因子的单调正态空间的乘积

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摘要

Recently, it has been proved that orthocompactness implies normality for the products of a monotonically normal space and a compact space. It had been known that normality, collectionwise normality and the shrinking property are equivalent for the same products. We extend these two results for the products replacing the compact factor with a factor defined by topological games. Moreover, we prove the equivalence of orthocompactness and weak suborthocompactness in these products.
机译：最近，已经证明，正交紧凑性意味着单调法向空间和紧凑空间的乘积的正态性。众所周知，对于同一产品，正态性，集合态正态性和收缩性是等效的。我们将产品的紧凑性因子替换为拓扑游戏定义的因子，从而扩展了这两个结果。此外，我们证明了这些产品中原紧实度和弱原紧实度的等效性。

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