Geodesic
Open relations and collectionwise normality
Valentin Gutev1
1 Department of Mathematics Faculty of Science University of Malta Msida MSD 2080, Malta
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 65 (2017) no. 1, pp. 69-79

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

Using the framework of discrete-valued relations, we give a simple proof of a theorem obtained by Stoyan Nedev. This theorem provides a generalisation of an element in the proof of Dowker’s extension theorem, which is essential for constructing continuous selections of set-valued mappings defined on collectionwise normal spaces. Using this relationship, we also give a simple proof of the Dowker’s theorem.
DOI : 10.4064/ba8097-4-2017
Keywords: using framework discrete valued relations simple proof theorem obtained stoyan nedev theorem provides generalisation element proof dowker extension theorem which essential constructing continuous selections set valued mappings defined collectionwise normal spaces using relationship simple proof dowker theorem

Valentin Gutev 1

1 Department of Mathematics Faculty of Science University of Malta Msida MSD 2080, Malta 
@article{10_4064_ba8097_4_2017,
     author = {Valentin Gutev},
     title = {Open relations and collectionwise normality},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {69--79},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2017},
     doi = {10.4064/ba8097-4-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba8097-4-2017/}
}
TY  - JOUR
AU  - Valentin Gutev
TI  - Open relations and collectionwise normality
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2017
SP  - 69
EP  - 79
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba8097-4-2017/
DO  - 10.4064/ba8097-4-2017
LA  - en
ID  - 10_4064_ba8097_4_2017
ER  - 
%0 Journal Article
%A Valentin Gutev
%T Open relations and collectionwise normality
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2017
%P 69-79
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba8097-4-2017/
%R 10.4064/ba8097-4-2017
%G en
%F 10_4064_ba8097_4_2017
Valentin Gutev. Open relations and collectionwise normality. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 65 (2017) no. 1, pp. 69-79. doi: 10.4064/ba8097-4-2017

Cité par Sources :