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An example concerning inverse limit sequences of normal spaces

Author: M. G. Charalambous
Journal: Proc. Amer. Math. Soc. 78 (1980), 605-607
MSC: Primary 54F45; Secondary 54B25, 54D15, 54D20
MathSciNet review: 556641
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Abstract: Using techniques developed by Wage and Przymusiński, we construct an inverse limit sequence $ ({X_n},{f_{nm}})$ with limit space X such that each $ {X_n}$ is Lindolöf with $ \dim {X_n} = 0$, where dim denotes covering dimension, while X is normal with $ \dim X > 0$. The space X is a counterexample to several conjectures in Topology.

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

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Keywords: Normal, Lindelöf, paracompact, topologically complete and N-compact space, covering dimension
Article copyright: © Copyright 1980 American Mathematical Society

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