Geodesic
On generalized topological spaces I
Artur Piękosz1
1 Instytut Matematyki Politechnika Krakowska Warszawska 24 31-155 Kraków, Poland
Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 217-241

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

We begin a systematic study of the category $\mathbf{GTS}$ of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings. We reformulate the axioms. Generalized topology is found to be connected with the concept of a bornological universe. Both $\mathbf{GTS}$ and its full subcategory $\mathbf{SS}$ of small spaces are topological categories. The second part of this paper will also appear in this journal.
DOI : 10.4064/ap107-3-1
Keywords: begin systematic study category mathbf gts generalized topological spaces sense delfs nbsp knebusch their strictly continuous mappings reformulate axioms generalized topology found connected concept bornological universe mathbf gts its full subcategory mathbf small spaces topological categories second part paper appear journal

Artur Piękosz 1

1 Instytut Matematyki Politechnika Krakowska Warszawska 24 31-155 Kraków, Poland 
@article{10_4064_ap107_3_1,
     author = {Artur Pi\k{e}kosz},
     title = {On generalized topological spaces {I}},
     journal = {Annales Polonici Mathematici},
     pages = {217--241},
     publisher = {mathdoc},
     volume = {107},
     number = {3},
     year = {2013},
     doi = {10.4064/ap107-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap107-3-1/}
}
TY  - JOUR
AU  - Artur Piękosz
TI  - On generalized topological spaces I
JO  - Annales Polonici Mathematici
PY  - 2013
SP  - 217
EP  - 241
VL  - 107
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap107-3-1/
DO  - 10.4064/ap107-3-1
LA  - en
ID  - 10_4064_ap107_3_1
ER  - 
%0 Journal Article
%A Artur Piękosz
%T On generalized topological spaces I
%J Annales Polonici Mathematici
%D 2013
%P 217-241
%V 107
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap107-3-1/
%R 10.4064/ap107-3-1
%G en
%F 10_4064_ap107_3_1
Artur Piękosz. On generalized topological spaces I. Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 217-241. doi: 10.4064/ap107-3-1

Cité par Sources :