The Niemytzki plane is -metrizable
Wojciech Bielas; Andrzej Kucharski; Szymon Plewik
Mathematica Bohemica (2021)
- Volume: 146, Issue: 4, page 457-469
- ISSN: 0862-7959
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topBielas, Wojciech, Kucharski, Andrzej, and Plewik, Szymon. "The Niemytzki plane is $\varkappa $-metrizable." Mathematica Bohemica 146.4 (2021): 457-469. <http://eudml.org/doc/297483>.
@article{Bielas2021,
abstract = {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.},
author = {Bielas, Wojciech, Kucharski, Andrzej, Plewik, Szymon},
journal = {Mathematica Bohemica},
keywords = {stratifiable space; $\varkappa $-metrizable space; Niemytzki plane; Sorgenfrey line},
language = {eng},
number = {4},
pages = {457-469},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The Niemytzki plane is $\varkappa $-metrizable},
url = {http://eudml.org/doc/297483},
volume = {146},
year = {2021},
}
TY - JOUR
AU - Bielas, Wojciech
AU - Kucharski, Andrzej
AU - Plewik, Szymon
TI - The Niemytzki plane is $\varkappa $-metrizable
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 4
SP - 457
EP - 469
AB - 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.
LA - eng
KW - stratifiable space; $\varkappa $-metrizable space; Niemytzki plane; Sorgenfrey line
UR - http://eudml.org/doc/297483
ER -
References
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