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
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 -
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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
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