Swiss-cheese action on the totalization of action-operads

被引：5
|
作者：
Ducoulombier, Julien [1 ]
机构：
[1] Univ Paris 13, CNRS, LAGA, UMR 7539, 99 Ave Jean Batiste Clement, F-93430 Villetaneuse, France
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2016年 / 16卷 / 03期
关键词：
RESOLUTION; HOMOLOGY;
D O I：
10.2140/agt.2016.16.1683
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that if a pair of semi-cosimplicial spaces (X-c(center dot); X-o(center dot)) arise from a coloured operad then the semitotalization sTot(X-o(center dot)) has the homotopy type of a relative double loop space and the pair (sTot(X-c(center dot)),sTot(X-o(center dot))) is weakly equivalent to an explicit algebra over the two dimensional Swiss-cheese operad SC2.
引用
收藏
页码：1683 / 1726
页数：44
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