Kelley’s conjecture and preorthocompactness. (English) Zbl 0623.54012
The author’s abstract: “We show that an orthocompact Dieudonné complete almost 2-fully normal space need not be paracompact. Furthermore, we observe that an almost 2-fully normal space with a \(G_{\delta}\)-diagonal is countably paracompact.” There are many other results in the paper and an excellent historical background is given.
Reviewer: C.E.Aull
MSC:
| 54D20 | Noncompact covering properties (paracompact, Lindelöf, etc.) |
| 54D15 | Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) |
| 54G20 | Counterexamples in general topology |
Keywords:
weakly Lindelöf; preorthocompact counterexamples; (countable) paracompactness; orthocompact Dieudonné complete almost 2-fully normal space; \(G_{\delta }\)-diagonalReferences:
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