Geodesic
The Niemytzki plane is $\varkappa $-metrizable
Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 457-469.

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

We prove that the Niemytzki plane is $\varkappa $-metrizable and we try to explain the differences between the concepts of a stratifiable space and a $\varkappa $-metrizable space. Also, we give a characterisation of $\varkappa $-metrizable spaces which is modelled on the version described by Chigogidze.
DOI : 10.21136/MB.2021.0177-19
Classification : 54D15, 54E35, 54G20
Keywords: stratifiable space; $\varkappa $-metrizable space; Niemytzki plane; Sorgenfrey line 
@article{10_21136_MB_2021_0177_19,
     author = {Bielas, Wojciech and Kucharski, Andrzej and Plewik, Szymon},
     title = {The {Niemytzki} plane is $\varkappa $-metrizable},
     journal = {Mathematica Bohemica},
     pages = {457--469},
     publisher = {mathdoc},
     volume = {146},
     number = {4},
     year = {2021},
     doi = {10.21136/MB.2021.0177-19},
     mrnumber = {4336550},
     zbl = {07442513},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0177-19/}
}
TY  - JOUR
AU  - Bielas, Wojciech
AU  - Kucharski, Andrzej
AU  - Plewik, Szymon
TI  - The Niemytzki plane is $\varkappa $-metrizable
JO  - Mathematica Bohemica
PY  - 2021
SP  - 457
EP  - 469
VL  - 146
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0177-19/
DO  - 10.21136/MB.2021.0177-19
LA  - en
ID  - 10_21136_MB_2021_0177_19
ER  - 
%0 Journal Article
%A Bielas, Wojciech
%A Kucharski, Andrzej
%A Plewik, Szymon
%T The Niemytzki plane is $\varkappa $-metrizable
%J Mathematica Bohemica
%D 2021
%P 457-469
%V 146
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0177-19/
%R 10.21136/MB.2021.0177-19
%G en
%F 10_21136_MB_2021_0177_19
Bielas, Wojciech; Kucharski, Andrzej; Plewik, Szymon. The Niemytzki plane is $\varkappa $-metrizable. Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 457-469. doi : 10.21136/MB.2021.0177-19. http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0177-19/

Cité par Sources :