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Dowker spaces. (English) Zbl 0554.54005

Handbook of set-theoretic topology, 761-780 (1984).
[For the entire collection see Zbl 0546.00022.]
A Dowker space is a normal space whose Cartesian product with the closed interval is not normal (equivalently, which is not countably paracompact). The paper is a survey of results on the (non)existence of Dowker spaces satisfying certain additional conditions. The last section contains the proof of the homotopy extension theorem and a brief discussion of some classes of spaces related to the class of Dowker spaces.
Reviewer: J.Chaber

MSC:

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

Citations:

Zbl 0546.00022