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


Concerning completable Moore spaces

Author: G. M. Reed
Journal: Proc. Amer. Math. Soc. 36 (1972), 591-596
MSC: Primary 54E30
MathSciNet review: 0309074
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Abstract: The author obtains a generalization of well-known theorems due to Younglove and Fitzpatrick concerning the existence of dense metrizable subspaces in complete and completable Moore spaces. Based on this result, a new class of noncompletable Moore spaces is presented. In particular, an example of a separable noncompletable Moore space is given.

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PII: S 0002-9939(1972)0309074-2
Keywords: Moore space, completable, metrizable, separable
Article copyright: © Copyright 1972 American Mathematical Society

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