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An example concerning inverse limit sequences of normal spaces

1980; American Mathematical Society; Volume: 78; Issue: 4 Linguagem: Inglês

10.1090/s0002-9939-1980-0556641-1

1088-6826

Michael G. Charalambous,

Nonlinear Differential Equations Analysis

Using techniques developed by Wage and Przymusiński, we construct an inverse limit sequence ( X n , f n m ) ({X_n},{f_{nm}}) with limit space X such that each X n {X_n} is Lindolöf with dim ⁡ X n = 0 \dim {X_n} = 0 , where dim denotes covering dimension, while X is normal with dim ⁡ X > 0 \dim X > 0 . The space X is a counterexample to several conjectures in Topology.