Geodesic
Quantale-valued convergence tower spaces: diagonal axioms and continuous extension
Filomat, Tome 35 (2021) no. 11, p. 3801

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

We generalize a result on continuous extension of a mapping on a dense subspace from the category of convergence spaces to the category of quantale-valued convergence tower spaces. To this end, we introduce and study diagonal axioms which characterize topologicalness and regularity for quantale-valued convergence tower spaces
DOI : 10.2298/FIL2111801J
Classification : 54A05, 54A20, 54C20, 54E70
Keywords: Quantale-valued convergence space, quantale-valued metric space, probabilistic convergence space, approach convergence space, continuous extension, diagonal axioms, regularity 
Gunther Jäger. Quantale-valued convergence tower spaces: diagonal axioms and continuous extension. Filomat, Tome 35 (2021) no. 11, p. 3801 . doi: 10.2298/FIL2111801J
@article{10_2298_FIL2111801J,
     author = {Gunther J\"ager},
     title = {Quantale-valued convergence tower spaces: diagonal axioms and continuous extension},
     journal = {Filomat},
     pages = {3801 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111801J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111801J/}
}
TY  - JOUR
AU  - Gunther Jäger
TI  - Quantale-valued convergence tower spaces: diagonal axioms and continuous extension
JO  - Filomat
PY  - 2021
SP  - 3801 
VL  - 35
IS  - 11
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2111801J/
DO  - 10.2298/FIL2111801J
LA  - en
ID  - 10_2298_FIL2111801J
ER  - 
%0 Journal Article
%A Gunther Jäger
%T Quantale-valued convergence tower spaces: diagonal axioms and continuous extension
%J Filomat
%D 2021
%P 3801 
%V 35
%N 11
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2111801J/
%R 10.2298/FIL2111801J
%G en
%F 10_2298_FIL2111801J

Cité par Sources :