Geodesic
Completion under strong homotopy cokernels
Theory and applications of categories, Tome 41 (2024), pp. 168-193

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

For A a category with finite colimits, we show that the embedding of A into the category of arrows Arr(A) determined by the initial object is the completion of A under strong homotopy cokernels. The nullhomotopy structure of Arr(A) (needed in order to express the notion of homotopy cokernel) is the usual one induced by the canonical string of adjunctions between A and Arr(A).

Publié le :
Classification : 18A30, 18A35, 18N99
Keywords: nullhomotopy, homotopy cokernel, arrow category, completion 
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     author = {Enrico M. Vitale},
     title = {Completion under strong homotopy cokernels},
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     pages = {168--193},
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     volume = {41},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a5/}
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Enrico M. Vitale. Completion under strong homotopy cokernels. Theory and applications of categories, Tome 41 (2024), pp. 168-193. http://geodesic.mathdoc.fr/item/TAC_2024_41_a5/