Geodesic
Exponentiability in homotopy slices of Top and pseudo-slices of Cat
Theory and applications of categories, CT2006, Tome 19 (2007), pp. 4-18.

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

We prove a general theorem relating pseudo-exponentiable objects of a bicategory K to those of the Kleisli bicategory of a pseudo-monad on K. This theorem is applied to obtain pseudo-exponentiable objects of the homotopy slices Top//B of the category of topological spaces and the pseudo-slices Cat//B of the category of small categories.
Classification : 18A40, 18C20, 18A25, 18B30, 54C35
Keywords: pseudo-exponentiable, Kleisli bicategory, homotopy slice, pseudo-slice 
@article{TAC_2007_19_a0,
     author = {Susan Niefield},
     title = {Exponentiability in homotopy slices of {Top} and pseudo-slices of {
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     journal = {Theory and applications of categories},
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     publisher = {mathdoc},
     volume = {19},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2007_19_a0/}
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Susan Niefield. Exponentiability in homotopy slices of Top and pseudo-slices of 
Cat. Theory and applications of categories, CT2006, Tome 19 (2007), pp. 4-18. http://geodesic.mathdoc.fr/item/TAC_2007_19_a0/