Abstract
Knowing that the inductive dimensions of a metric space can differ and that \(\dim X \leq \mathop {\mathrm {ind}} \nolimits X = \mathop {\mathrm {Ind}} \nolimits X\) for a perfectly normal, Lindelöf space X, it is natural to wonder whether the equality of the three dimensions perhaps extends to some nice class of perfectly normal, Lindelöf spaces that contains the separable metric spaces.
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Charalambous, M.G. (2019). Cosmic Spaces and Dimension. In: Dimension Theory. Atlantis Studies in Mathematics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-030-22232-1_23
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