论文标题
用有限的广义后尼科夫分解来表征多面体产品
Characterisation of polyhedral products with finite generalised Postnikov decomposition
论文作者
论文摘要
$ x $的通用后尼科夫塔楼是一座主要纤维塔，其纤维通用Eilenberg-Maclane空间，其逆极限弱同型相当于$ x $。在本文中，我们给出了多面体产品$ z_k（x，a）$的特征，其通用覆盖物要么承认有限长度的通用后尼科夫塔，要么是承认这样塔的空间的同质缩回。我们还包括定理的$ p $ - 本地和理性版本。我们以组理论应用结束。
A generalised Postnikov tower for a space $X$ is a tower of principal fibrations with fibres generalised Eilenberg-MacLane spaces, whose inverse limit is weakly homotopy equivalent to $X$. In this paper we give a characterisation of a polyhedral product $Z_K(X,A)$ whose universal cover either admits a generalised Postnikov tower of finite length, or is a homotopy retract of a space admitting such a tower. We also include $p$-local and rational versions of the theorem. We end with a group theoretic application.
