Notes on strongly Whyburn spaces

Masami Sakai

Commentationes Mathematicae Universitatis Carolinae (2016)

  • Volume: 57, Issue: 1, page 123-129
  • ISSN: 0010-2628

Abstract

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We introduce the notion of a strongly Whyburn space, and show that a space X is strongly Whyburn if and only if X × ( ω + 1 ) is Whyburn. We also show that if X × Y is Whyburn for any Whyburn space Y , then X is discrete.

How to cite

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Sakai, Masami. "Notes on strongly Whyburn spaces." Commentationes Mathematicae Universitatis Carolinae 57.1 (2016): 123-129. <http://eudml.org/doc/276811>.

@article{Sakai2016,
abstract = {We introduce the notion of a strongly Whyburn space, and show that a space $X$ is strongly Whyburn if and only if $X\times (\omega +1)$ is Whyburn. We also show that if $X\times Y$ is Whyburn for any Whyburn space $Y$, then $X$ is discrete.},
author = {Sakai, Masami},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Whyburn; strongly Whyburn; Fréchet-Urysohn},
language = {eng},
number = {1},
pages = {123-129},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Notes on strongly Whyburn spaces},
url = {http://eudml.org/doc/276811},
volume = {57},
year = {2016},
}

TY - JOUR
AU - Sakai, Masami
TI - Notes on strongly Whyburn spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 1
SP - 123
EP - 129
AB - We introduce the notion of a strongly Whyburn space, and show that a space $X$ is strongly Whyburn if and only if $X\times (\omega +1)$ is Whyburn. We also show that if $X\times Y$ is Whyburn for any Whyburn space $Y$, then $X$ is discrete.
LA - eng
KW - Whyburn; strongly Whyburn; Fréchet-Urysohn
UR - http://eudml.org/doc/276811
ER -

References

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