A cubical model for a fibration
A cubical model for a fibration
复制标题
纤维化的立方模型
DOI：
10.1016/j.jpaa.2004.08.017
复制
发表时间：
2002
影响因子：
0.8
通讯作者：
S. Saneblidze
中科院分区：
文献类型：
--
作者：
T. Kadeishvili;S. Saneblidze
本文引入了扭函数从单纯集到三次集的截尾概念以及相应的扭笛卡尔积的概念。后者成为一个立方体集。利用这一构造，结合同伦G-代数的扭张量积理论，得到了纤维化的严格结合乘法模型。
In the paper the notion of truncating twisting function from a simplicial set to a cubical set and the corresponding notion of twisted Cartesian product of these sets are introduced. The latter becomes a cubical set. Using this construction together with the theory of twisted tensor products for homotopy G-algebras a strictly associative multiplicative model for a fibration is obtained.