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Keywords:
absolute $z$-embedding; absolute $C$-embedding; absolute $C^*$-embedding; absolute embeddings; almost compact; Lindelöf; compact; pseudocompact
absolute $z$-embedding; absolute $C$-embedding; absolute $C^*$-embedding; absolute embeddings; almost compact; Lindelöf; compact; pseudocompact
Summary:
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.
References:
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