p-universal spaces and rational homotopy types
p-universal spaces and rational homotopy types
复制标题
p-通用空间和有理同伦类型
DOI：
10.1007/s000140050063
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发表时间：
1998
影响因子：
0.9
通讯作者：
D. Sullivan
中科院分区：
文献类型：
--
作者：
R. Body;M. Mimura;H. Shiga;D. Sullivan
抽象的。我们证明空间的 p 普遍性不取决于素数 p，而仅取决于其有理同伦类型。这种有理同伦型的最小模型的特征是其自同构群的闭包中存在平凡自同态。
Abstract. We prove that the p-universality of a space does not depend on a prime p but only on its rational homotopy type. The minimal model of such a rational homotopy type is characterized by the existence of the trivial endomorphism in the closure of its automorphism group.