Geodesic
Exponentiability in lax slices of Top
Theory and applications of categories, Tome 16 (2006), pp. 218-235 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

Voir la notice de l'article

We consider exponentiable objects in lax slices of Top with respect to the specialization order (and its opposite) on a base space B. We begin by showing that the lax slice over B has binary products which are preserved by the forgetful functor to Top if and only if B is a meet (respective, join) semilattice in Top, and go on to characterize exponentiability over a complete Alexandrov space B.

Classification : 18B30, 18A40, 18A25, 54C35, 54F05, 06F30
Keywords: exponentiable space, function space, lax slice, specialization order 
@article{TAC_2006_16_a10,
     author = {Susan Niefield},
     title = {Exponentiability in lax slices of {Top}},
     journal = {Theory and applications of categories},
     pages = {218--235},
     year = {2006},
     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a10/}
}
TY  - JOUR
AU  - Susan Niefield
TI  - Exponentiability in lax slices of Top
JO  - Theory and applications of categories
PY  - 2006
SP  - 218
EP  - 235
VL  - 16
UR  - http://geodesic.mathdoc.fr/item/TAC_2006_16_a10/
LA  - en
ID  - TAC_2006_16_a10
ER  - 
%0 Journal Article
%A Susan Niefield
%T Exponentiability in lax slices of Top
%J Theory and applications of categories
%D 2006
%P 218-235
%V 16
%U http://geodesic.mathdoc.fr/item/TAC_2006_16_a10/
%G en
%F TAC_2006_16_a10
Susan Niefield. Exponentiability in lax slices of Top. Theory and applications of categories, Tome 16 (2006), pp. 218-235. http://geodesic.mathdoc.fr/item/TAC_2006_16_a10/