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.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 605-607
- MSC: Primary 54F45; Secondary 54B25, 54D15, 54D20
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556641-1
- MathSciNet review: 556641