Countably paracompact, normal and collectionwise normal spaces
✍ Scribed by Richard A Alò; Harvey L Shapiro
- Publisher
- Elsevier Science
- Year
- 1973
- Weight
- 401 KB
- Volume
- 76
- Category
- Article
- ISSN
- 1385-7258
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📜 SIMILAR VOLUMES
74 ome space conject a-e states space is metrizable . Bjng':r [ 1 ] thecvern that a iff it is cdlectionwise normal (C the question "when al-e normal sp;~:e!; CWN?" Untili this paper? the (Le., provable wittl the u al axioms of set the0 g that the answer is %clt aysvv was Bin&s exa G [l]. @es of nonm
We will see that: (1) In ZFC, for each subspace X ⊆ ω 2 1 , the following are equivalent; (a) X is normal, (b) X is countably paracompact and strongly collectionwise Hausdorff, (c) X is expandable. (2) Under a variety of different set-theoretic assumptions (including V = L and PMEA) all countably
We give a proof that every compact, hereditarily paracompact, monotonically normal space is the continuous image of a compact linearly ordered space.