A proof for the Blair-Hager-Johnson theorem on absolute z -embedding

Kaori Yamazaki

Commentationes Mathematicae Universitatis Carolinae (2002)

  • Volume: 43, Issue: 1, page 175-179
  • ISSN: 0010-2628

Abstract

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In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hager [8] and Hager-Johnson [12]: A Tychonoff space X is z -embedded in every larger Tychonoff space if and only if X is almost compact or Lindelöf. We also give a simple proof of a recent theorem of Bella-Yaschenko [6] on absolute embeddings.

How to cite

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Yamazaki, Kaori. "A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding." Commentationes Mathematicae Universitatis Carolinae 43.1 (2002): 175-179. <http://eudml.org/doc/248963>.

@article{Yamazaki2002,
abstract = {In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hager [8] and Hager-Johnson [12]: A Tychonoff space $X$ is $z$-embedded in every larger Tychonoff space if and only if $X$ is almost compact or Lindelöf. We also give a simple proof of a recent theorem of Bella-Yaschenko [6] on absolute embeddings.},
author = {Yamazaki, Kaori},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {absolute $z$-embedding; absolute $C$-embedding; absolute $C^*$-embedding; absolute embeddings; almost compact; Lindelöf; compact; pseudocompact; absolute -embedding; absolute -embedding; absolute -embedding; absolute embeddings; almost compact; Lindelöf; compact; pseudocompact},
language = {eng},
number = {1},
pages = {175-179},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding},
url = {http://eudml.org/doc/248963},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Yamazaki, Kaori
TI - A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2002
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 43
IS - 1
SP - 175
EP - 179
AB - In this paper, a simple proof is given for the following theorem due to Blair [7], Blair-Hager [8] and Hager-Johnson [12]: A Tychonoff space $X$ is $z$-embedded in every larger Tychonoff space if and only if $X$ is almost compact or Lindelöf. We also give a simple proof of a recent theorem of Bella-Yaschenko [6] on absolute embeddings.
LA - eng
KW - absolute $z$-embedding; absolute $C$-embedding; absolute $C^*$-embedding; absolute embeddings; almost compact; Lindelöf; compact; pseudocompact; absolute -embedding; absolute -embedding; absolute -embedding; absolute embeddings; almost compact; Lindelöf; compact; pseudocompact
UR - http://eudml.org/doc/248963
ER -

References

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