Geodesic
Some properties of internal locale morphisms externalised
Theory and applications of categories, Tome 41 (2024), pp. 1160-1202.

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

We study morphisms of internal locales of Grothendieck toposes externally: treating internal locales and their morphisms as sheaves and natural transformations. We characterise those morphisms of internal locales that induce surjective geometric morphisms and geometric embeddings, demonstrating that both can be characterised `pointwise'. We also show that the co-frame operations on the co-frame of internal sublocales admit a `pointwise' description too.
Publié le :
Classification : 18B25 (Primary), 18F70 (Secondary)
Keywords: Internal locale, internal nucleus, Grothendieck topos 
@article{TAC_2024_41_a34,
     author = {Joshua L. Wrigley},
     title = {Some properties of internal locale morphisms externalised},
     journal = {Theory and applications of categories},
     pages = {1160--1202},
     publisher = {mathdoc},
     volume = {41},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a34/}
}
TY  - JOUR
AU  - Joshua L. Wrigley
TI  - Some properties of internal locale morphisms externalised
JO  - Theory and applications of categories
PY  - 2024
SP  - 1160
EP  - 1202
VL  - 41
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2024_41_a34/
LA  - en
ID  - TAC_2024_41_a34
ER  - 
%0 Journal Article
%A Joshua L. Wrigley
%T Some properties of internal locale morphisms externalised
%J Theory and applications of categories
%D 2024
%P 1160-1202
%V 41
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2024_41_a34/
%G en
%F TAC_2024_41_a34
Joshua L. Wrigley. Some properties of internal locale morphisms externalised. Theory and applications of categories, Tome 41 (2024), pp. 1160-1202. http://geodesic.mathdoc.fr/item/TAC_2024_41_a34/