Geodesic
On generalized topological spaces II
Artur Piękosz1
1 Instytut Matematyki Politechnika Krakowska Warszawska 24 31-155 Kraków, Poland
Annales Polonici Mathematici, Tome 108 (2013) no. 2, pp. 185-214.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217–241]. The categories ${\bf GTS}(M)$, with $M$ a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.
DOI : 10.4064/ap108-2-4
Keywords: second part kosz ann polon math categories gts non empty set shown topological several related categories proved finitely complete locally small nice weakly small spaces described using certain sublattices power sets important elements theory locally definable weakly definable spaces reconstructed wide context structures topologies

Artur Piękosz 1

1 Instytut Matematyki Politechnika Krakowska Warszawska 24 31-155 Kraków, Poland 
@article{10_4064_ap108_2_4,
     author = {Artur Pi\k{e}kosz},
     title = {On generalized topological spaces {II}},
     journal = {Annales Polonici Mathematici},
     pages = {185--214},
     publisher = {mathdoc},
     volume = {108},
     number = {2},
     year = {2013},
     doi = {10.4064/ap108-2-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap108-2-4/}
}
TY  - JOUR
AU  - Artur Piękosz
TI  - On generalized topological spaces II
JO  - Annales Polonici Mathematici
PY  - 2013
SP  - 185
EP  - 214
VL  - 108
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap108-2-4/
DO  - 10.4064/ap108-2-4
LA  - en
ID  - 10_4064_ap108_2_4
ER  - 
%0 Journal Article
%A Artur Piękosz
%T On generalized topological spaces II
%J Annales Polonici Mathematici
%D 2013
%P 185-214
%V 108
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap108-2-4/
%R 10.4064/ap108-2-4
%G en
%F 10_4064_ap108_2_4
Artur Piękosz. On generalized topological spaces II. Annales Polonici Mathematici, Tome 108 (2013) no. 2, pp. 185-214. doi : 10.4064/ap108-2-4. http://geodesic.mathdoc.fr/articles/10.4064/ap108-2-4/

Cité par Sources :