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首页> 外文期刊>Topology and its applications >Corrigendum to: 'Orbit spaces and unions of equivariant absolute neighborhood extensors' [Topology Appl. 146-147 (2005) 289-315]
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Corrigendum to: 'Orbit spaces and unions of equivariant absolute neighborhood extensors' [Topology Appl. 146-147 (2005) 289-315]

机译:更正为:“等距绝对邻域扩展的轨道空间和并集”。 146-147(2005)289-315]

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摘要

In our article, on p. 313, the proof of Theorem 6.1 contains a gap. Namely, in that proof we concluded that the orbit space X/H is a G/H-ANR, by applying the equivariant version of the Hanner domination theorem [2, Theorem 7]. The error occurs at the place where we verify only the weaker condition that the two equivariant maps in question are β-close, β being an open cover, while the assumption of the equivariant Hanner domination theorem requires these two maps to be equivariantly β-homotopic.
机译:在我们的文章中,p。 313,定理6.1的证明包含一个空白。也就是说,在该证明中,我们通过应用Hanner支配定理的等变形式[2,定理7]得出结论,轨道空间X / H是G / H-ANR。该错误发生在我们仅验证较弱条件下的位置,在该条件下,所讨论的两个等变图是β-闭合​​的,β是一个开盖,而等变Hanner支配定理的假设要求这两个图是等变的β-同位的。

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