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Lindelöf property and absolute embeddings. (English) Zbl 0907.54003
The authors’ abstract: “It is proved that a Tychonoff space is Lindelöf if and only if whenever a Tychonoff space \(Y\) contains two disjoint closed copies \(X_{1}\) and \(X_{2}\) of \(X\), then these copies can be separated in \(Y\) by open sets. We also show that a Tychonoff space \(X\) is weakly \(C\)-embedded (relatively normal) in every larger Tychonoff space if and only if \(X\) is either almost compact or Lindelöf (normal almost compact or Lindelöf)”.
Reviewer: M.Ganster (Graz)

MSC:
54A35 Consistency and independence results in general topology
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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