Simplicial Crossed Modules and Mapping Cones-Reference-Cited by-同舟云学术

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Simplicial Crossed Modules and Mapping Cones

Published:2003-12 Issue:4 Volume:10 Page:623-636
ISSN:1572-9176
Container-title:gmj
language:en
Short-container-title:

Author:

Conduché D.¹

Affiliation:

1. Université de Rennes 1, U.F.R. de Mathématiques, Campus de Beaulieu, 35042 Rennes Cedex, France. E-mail:

Abstract

Abstract Given a bisimplicial group 𝐺∗∗ such that 𝑁(𝐺)∗𝑞 = {1} for 𝑞 ⩾ 2, a simplicial group is obtained whose Moore complex is a mapping cone of the chain morphism 𝑁(𝐺)∗1 → 𝑁(𝐺)∗0. This simplicial group is homotopy equivalent to the diagonal of 𝐺∗∗. In the last section a special case is considered.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bisimplicial Commutative Algebras and Crossed Squares;Fundamental Journal of Mathematics and Applications;2023-09-30

2. Crossed squares of cocommutative Hopf algebras;Journal of Algebra;2021-10

3. Adjusted parallel transport for higher gauge theories;Journal of Physics A: Mathematical and Theoretical;2020-10-14

4. NONABELIAN BUNDLE 2-GERBES;International Journal of Geometric Methods in Modern Physics;2011-02

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