# Open maps do not preserve Whyburn property

Commentationes Mathematicae Universitatis Carolinae (2003)

- Volume: 44, Issue: 3, page 525-530
- ISSN: 0010-2628

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topObersnel, Franco. "Open maps do not preserve Whyburn property." Commentationes Mathematicae Universitatis Carolinae 44.3 (2003): 525-530. <http://eudml.org/doc/249178>.

@article{Obersnel2003,

abstract = {We show that a (weakly) Whyburn space $X$ may be mapped continuously via an open map $f$ onto a non (weakly) Whyburn space $Y$. This fact may happen even between topological groups $X$ and $Y$, $f$ a homomorphism, $X$ Whyburn and $Y$ not even weakly Whyburn.},

author = {Obersnel, Franco},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {weakly Whyburn space; open function; Whyburn space; weakly Whyburn space; open mapping; topological group; group homomorphism},

language = {eng},

number = {3},

pages = {525-530},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Open maps do not preserve Whyburn property},

url = {http://eudml.org/doc/249178},

volume = {44},

year = {2003},

}

TY - JOUR

AU - Obersnel, Franco

TI - Open maps do not preserve Whyburn property

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2003

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 44

IS - 3

SP - 525

EP - 530

AB - We show that a (weakly) Whyburn space $X$ may be mapped continuously via an open map $f$ onto a non (weakly) Whyburn space $Y$. This fact may happen even between topological groups $X$ and $Y$, $f$ a homomorphism, $X$ Whyburn and $Y$ not even weakly Whyburn.

LA - eng

KW - weakly Whyburn space; open function; Whyburn space; weakly Whyburn space; open mapping; topological group; group homomorphism

UR - http://eudml.org/doc/249178

ER -

## References

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- Tkachuk V.V., Yashenko I.V., Almost closed sets and topologies they determine, Comment. Math. Univ. Carolinae 42.2 (2001), 395-405. (2001) MR1832158

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