Crossed squares, crossed modules over groupoids and cat$^{\bf {1-2}}-$groupoids
The aim of this paper is to introduce the notion of cat$^{\bf {1}}-$groupoids which are the groupoid version of cat$^{\bf {1}}-$groups and to prove the categorical equivalence between crossed modules over groupoids and cat$^{\bf {1}}-$groupoids. In section 4 we introduce the notions of crossed squar...
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| Format: | Article |
| Language: | English |
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Shahid Beheshti University
2020-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | https://cgasa.sbu.ac.ir/article_87511_b595acc78c30c8580458ad2fc0331d2f.pdf |