The Niemytzki plane is $\varkappa$-metrizable

The Niemytzki plane is $\varkappa$-metrizable

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 Chigogidz...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Wojciech Bielas, Andrzej Kucharski, Szymon Plewik
Formato: article
Lenguaje:EN
Publicado: Institute of Mathematics of the Czech Academy of Science 2021
Materias:
stratifiable space
$\varkappa$-metrizable space
niemytzki plane
sorgenfrey line
Mathematics
QA1-939
Acceso en línea:https://doaj.org/article/00749d478a0f4dd68b7aa5b8061d0bc6
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:00749d478a0f4dd68b7aa5b8061d0bc6
record_format dspace
spelling oai:doaj.org-article:00749d478a0f4dd68b7aa5b8061d0bc62021-11-08T09:59:12ZThe Niemytzki plane is $\varkappa$-metrizable0862-79592464-713610.21136/MB.2021.0177-19https://doaj.org/article/00749d478a0f4dd68b7aa5b8061d0bc62021-12-01T00:00:00Zhttp://mb.math.cas.cz/full/146/4/mb146_4_6.pdfhttps://doaj.org/toc/0862-7959https://doaj.org/toc/2464-7136We 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.Wojciech BielasAndrzej KucharskiSzymon PlewikInstitute of Mathematics of the Czech Academy of Sciencearticle stratifiable space $\varkappa$-metrizable space niemytzki plane sorgenfrey lineMathematicsQA1-939ENMathematica Bohemica, Vol 146, Iss 4, Pp 457-469 (2021)
institution DOAJ
collection DOAJ
language EN
topic stratifiable space
$\varkappa$-metrizable space
niemytzki plane
sorgenfrey line
Mathematics
QA1-939
spellingShingle stratifiable space
$\varkappa$-metrizable space
niemytzki plane
sorgenfrey line
Mathematics
QA1-939
Wojciech Bielas
Andrzej Kucharski
Szymon Plewik
The Niemytzki plane is $\varkappa$-metrizable
description 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.
format article
author Wojciech Bielas
Andrzej Kucharski
Szymon Plewik
author_facet Wojciech Bielas
Andrzej Kucharski
Szymon Plewik
author_sort Wojciech Bielas
title The Niemytzki plane is $\varkappa$-metrizable
title_short The Niemytzki plane is $\varkappa$-metrizable
title_full The Niemytzki plane is $\varkappa$-metrizable
title_fullStr The Niemytzki plane is $\varkappa$-metrizable
title_full_unstemmed The Niemytzki plane is $\varkappa$-metrizable
title_sort niemytzki plane is $\varkappa$-metrizable
publisher Institute of Mathematics of the Czech Academy of Science
publishDate 2021
url https://doaj.org/article/00749d478a0f4dd68b7aa5b8061d0bc6
work_keys_str_mv AT wojciechbielas theniemytzkiplaneisvarkappametrizable
AT andrzejkucharski theniemytzkiplaneisvarkappametrizable
AT szymonplewik theniemytzkiplaneisvarkappametrizable
AT wojciechbielas niemytzkiplaneisvarkappametrizable
AT andrzejkucharski niemytzkiplaneisvarkappametrizable
AT szymonplewik niemytzkiplaneisvarkappametrizable
_version_ 1718442678576742400

Ejemplares similares