NOTES ON 2-GROUPOIDS, 2-GROUPS AND CROSSED MODULES

NOTES ON 2-GROUPOIDS, 2-GROUPS AND CROSSED MODULES
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关于 2-GROPOIDS、2-GROUPS 和交叉模块的注释

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
B. Noohi
B. Noohi
中科院分区:
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文献类型:
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作者:
B. Noohi

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本文给出了2-群胚的一些基本结果,特别是计算了2-群胚之间的导出映射2-群胚,并证明了它们在严格化下的不变性。这里证明的一些结果可能是民间传说(但据作者所知没有出现在文献中),有些结果似乎是新的。在整个文件中使用的主要技术工具是Quillen模型结构的范畴2-群胚介绍Moerdijk和Svensson。
This paper contains some basic results on 2-groupoids, with special emphasis on computing derived mapping 2-groupoids between 2-groupoids and proving their invariance under strictification. Some of the results proven here are presumably folklore (but do not appear in the literature to the author’s knowledge) and some of the results seem to be new. The main technical tool used throughout the paper is the Quillen model structure on the category of 2-groupoids introduced by Moerdijk and Svensson.