The ℝ-factorizability of an equivariant image of an ℝ-factorizable G-space with a d-open action of an ω-narrow P-group is proved. It is shown that the ℝ-factorizability, m-factorizability, and M-factorizability of G-spaces are preserved by d-open equivariant mappings. It is also proved that the ℝ-factorizability of topological groups is preserved under d-open homomorphisms.

中文翻译：

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G空间的可分解性通过等变映射得以保留

证明了具有ω-窄P-群的d-open作用的ℝ可分解G空间的等变图像的ℝ可分解性。结果表明，该ℝ-factorizability，米-factorizability，和中号的-factorizability ģ -spaces由d-开放等变映射保存。还证明了在d-开放同态下保留了拓扑基团的ℝ-可分解性。