Geodesic
A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 175-179 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 54C25, 54C45, 54D20
Keywords: absolute $z$-embedding; absolute $C$-embedding; absolute $C^*$-embedding; absolute embeddings; almost compact; Lindelöf; compact; pseudocompact 
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     author = {Yamazaki, Kaori},
     title = {A proof for the {Blair-Hager-Johnson} theorem on absolute $z$-embedding},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2002_43_1_a15/}
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Yamazaki, Kaori. A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 1, pp. 175-179. http://geodesic.mathdoc.fr/item/CMUC_2002_43_1_a15/