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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

$ \sigma$-centred forcing and reflection of (sub)metrizability


Author: Franklin D. Tall
Journal: Proc. Amer. Math. Soc. 121 (1994), 299-306
MSC: Primary 54A35; Secondary 03E35, 03E55, 54D15, 54E30, 54E35
MathSciNet review: 1179593
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Abstract: By using supercompact reflection and preservation lemmas for random real forcing and $ \sigma $-centred forcing, we obtain a model in which every normal Moore space is submetrizable, but not every normal Moore space is metrizable.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1179593-2
PII: S 0002-9939(1994)1179593-2
Keywords: Supercompact, reflection, random reals, $ \sigma $-centred forcing, normal Moore space, submetrizable, nonmetrizable, countably paracompact
Article copyright: © Copyright 1994 American Mathematical Society