A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding
Yamazaki, Kaori
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 175-179 / Harvested from 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.

Publié le : 2002-01-01
Classification:  54C25,  54C45,  54D20 
@article{119310,
     author = {Kaori Yamazaki},
     title = {A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {175-179},
     zbl = {1090.54009},
     mrnumber = {1903317},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119310}
}

Yamazaki, Kaori. A proof for the Blair-Hager-Johnson theorem on absolute $z$-embedding. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 175-179. http://gdmltest.u-ga.fr/item/119310/

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