Connections between Yoneda and Pontrjagin algebras

Connections between Yoneda and Pontrjagin algebras
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米田代数和庞特雅金代数之间的联系

DOI:
10.1007/bfb0075575
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发表时间:
1984
影响因子:
0.5
通讯作者:
D. Anick
D. Anick
中科院分区:
数学4区
文献类型:
--
作者:
D. Anick

文献摘要

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单连通CW复形上局部环的Yoneda Ext代数与loop空间的同调环之间的关系已经被几位作者观察到[7] [8] [11] [16]。大部分工作都是在特征零点上完成的。在本文中,我们将使用亚当斯-希尔顿结构[2]来理解任意特征上的这种联系。
The relationship between Yoneda Ext algebras of local rings and the homology rings of loop spaces on simply connected CW complexes has been observed by several authors [7] [8] [11] [16]. Most of the work has been done over characteristic zero. In this paper we will use the Adams-Hilton construction [2] to understand this connection over arbitrary characteristics.