Abstract
In this chapter, we present the example of Elżbieta and Roman Pol (Fund Math 102:137–142, 1979) of a Hausdorff, strongly zero-dimensional, Lindelöf and hereditarily normal space that contains a perfectly normal, locally second countable space X n with \( \mathop {\mathrm {Ind}} \nolimits X_n = \dim X_n = n\), for each \(n\in \mathbb {N}\).
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References
R. Engelking, General Topology (Heldermann Verlag, Berlin, 1989)
W.G. Fleissner, Separation properties in Moore spaces. Fund. Math. 98, 279–286 (1978)
E. Pol, R. Pol, A hereditarily normal strongly zero–dimensional space containing subspaces of arbitrarily large dimension. Fund. Math. 102, 137–142 (1979)
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Charalambous, M.G. (2019). A Zero-Dimensional, Hereditarily Normal and Lindelöf Space Containing Subspaces of Arbitrarily Large Dimension. In: Dimension Theory. Atlantis Studies in Mathematics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-030-22232-1_22
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DOI: https://doi.org/10.1007/978-3-030-22232-1_22
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