The snail lemma for internal groupoids
We establish a generalized form both of the Gabriel-Zisman exact sequence associated with a pointed functor between pointed groupoids, and of the Brown exact sequence associated with a fibration of pointed groupoids. Our generalization consists in replacing pointed groupoids with groupoids internal...
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| creator | Mantovani, S Metere, G Vitale, E. M |
| description | We establish a generalized form both of the Gabriel-Zisman exact sequence
associated with a pointed functor between pointed groupoids, and of the Brown
exact sequence associated with a fibration of pointed groupoids. Our
generalization consists in replacing pointed groupoids with groupoids internal
to a pointed regular category with reflexive coequalizers. |
| doi_str_mv | 10.48550/arxiv.1707.00875 |
| format | Article |
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associated with a pointed functor between pointed groupoids, and of the Brown
exact sequence associated with a fibration of pointed groupoids. Our
generalization consists in replacing pointed groupoids with groupoids internal
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associated with a pointed functor between pointed groupoids, and of the Brown
exact sequence associated with a fibration of pointed groupoids. Our
generalization consists in replacing pointed groupoids with groupoids internal
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associated with a pointed functor between pointed groupoids, and of the Brown
exact sequence associated with a fibration of pointed groupoids. Our
generalization consists in replacing pointed groupoids with groupoids internal
to a pointed regular category with reflexive coequalizers.</abstract><doi>10.48550/arxiv.1707.00875</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Category Theory |
| title | The snail lemma for internal groupoids |
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