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Kaori Yamazaki ) FHB BH JDA *=EH0=CAHDI JDAHA  =>IKJA z

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Kaori Yamazaki

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

z

- embedding

Comment.Math.Univ.Carolinae 43,1 (2002) 175-179.

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 Lindel¨of. We also give a simple proof of a recent theorem of Bella-Yaschenko [6] on absolute embeddings.

Keywords: absolutez-embedding, absoluteC-embedding, absoluteC∗-embedding, absolute embeddings, almost compact, Lindel¨of, compact, pseudocompact

AMS Subject Classification: 54C25, 54D20

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