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Normal Moore spaces in the constructible universe

Author: William Fleissner
Journal: Proc. Amer. Math. Soc. 46 (1974), 294-298
MSC: Primary 54E30
MathSciNet review: 0362240
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Abstract: Assuming the axiom of constructibility, points in closed discrete subspaces of certain normal spaces can be simultaneously separated. This is a partial result towards the normal Moore space conjecture.

References [Enhancements On Off] (What's this?)

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  • [2] -, A translation of the normal Moore space conjecture, Proc. Amer. Math. Soc. 16 (1965), 612-619. MR 31 #6201. MR 0181976 (31:6201)
  • [3] R. B. Jensen, The fine structure of the constructible hierarchy, Ann. Math. Logic 4 (1972), 229-308; Erratum, ibid. 4 (1972), 443. MR 46 #8834. MR 0309729 (46:8834)
  • [4] F. D. Tall, Set theoretic consistency results and topological theorems, Ph.D. Thesis, University of Wisconsin, Madison, Wis., 1969.
  • [5] R. B. Jensen, Souslin's hypothesis is compatible with CH, 150 handwritten pages (unpublished).

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Keywords: Normal Moore spaces, combinatorial principles in $ L$, constructible universe, cardinal functions in topology
Article copyright: © Copyright 1974 American Mathematical Society

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