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Inductive dimension and inverse sequences of compact spaces

Author: M. G. Charalambous
Journal: Proc. Amer. Math. Soc. 81 (1981), 482-484
MSC: Primary 54F45
MathSciNet review: 597667
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Abstract: We construct an inverse sequence of compact Hausdorff spaces each of which has inductive dimension one while the limit space of the sequence has large inductive dimension two.

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

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  • [3] R. Engelking, Dimension theory, Polish Scientific Publishers, Warsaw, 1978. MR 0482697 (58:2753b)
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Keywords: Inverse sequence, covering dimension, inductive dimension
Article copyright: © Copyright 1981 American Mathematical Society

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