Geodesic
Approximate maps, filter monad, and a representation of localic maps
Archivum mathematicum, Tome 46 (2010) no. 4, pp. 285-298.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A covariant representation of the category of locales by approximate maps (mimicking a natural representation of continuous maps between spaces in which one approximates points by small open sets) is constructed. It is shown that it can be given a Kleisli shape, as a part of a more general Kleisli representation of meet preserving maps. Also, we present the spectrum adjunction in this approximation setting.
Classification : 06D22, 18C20
Keywords: frames (locales); localic maps; approximation; Kleisli representation 
@article{ARM_2010__46_4_a4,
     author = {Banaschewski, Bernhard and Pultr, Ale\v{s}},
     title = {Approximate maps, filter monad, and a representation of localic maps},
     journal = {Archivum mathematicum},
     pages = {285--298},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2010},
     mrnumber = {2754066},
     zbl = {1240.06038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_4_a4/}
}
TY  - JOUR
AU  - Banaschewski, Bernhard
AU  - Pultr, Aleš
TI  - Approximate maps, filter monad, and a representation of localic maps
JO  - Archivum mathematicum
PY  - 2010
SP  - 285
EP  - 298
VL  - 46
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2010__46_4_a4/
LA  - en
ID  - ARM_2010__46_4_a4
ER  - 
%0 Journal Article
%A Banaschewski, Bernhard
%A Pultr, Aleš
%T Approximate maps, filter monad, and a representation of localic maps
%J Archivum mathematicum
%D 2010
%P 285-298
%V 46
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2010__46_4_a4/
%G en
%F ARM_2010__46_4_a4
Banaschewski, Bernhard; Pultr, Aleš. Approximate maps, filter monad, and a representation of localic maps. Archivum mathematicum, Tome 46 (2010) no. 4, pp. 285-298. http://geodesic.mathdoc.fr/item/ARM_2010__46_4_a4/