An example concerning inverse limit sequences of normal spaces

Charalambous, M. G.

doi:10.1090/S0002-9939-1980-0556641-1

An example concerning inverse limit sequences of normal spaces
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by M. G. Charalambous PDF

Proc. Amer. Math. Soc. 78 (1980), 605-607 Request permission

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.

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