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A collectionwise normal weakly $$\theta$$-refinable Dowker space which is neither irreducible nor realcompact. (English) Zbl 0397.54019

##### MSC:
 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) 54D60 Realcompactness and realcompactification 54A35 Consistency and independence results in general topology 54G20 Counterexamples in general topology