Abstract
Consider the following axioms for a dimension function \( \mathop {\mathrm {d}} \nolimits \) on a class of spaces C that contains all Euclidean cubes \(\mathbb {I}^n\) and every space that is homeomorphic to a subspace of a member of C. Bear in mind that by our definition of a dimension function, \( \mathop {\mathrm {d}} \nolimits (X) = \mathop {\mathrm {d}} \nolimits (Y)\) if X and Y are homeomorphic, and \( \mathop {\mathrm {d}} \nolimits (X) = -1\) iff X = ∅.
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Charalambous, M.G. (2019). Axiomatic Characterization of the Dimension of Separable Metric Spaces. In: Dimension Theory. Atlantis Studies in Mathematics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-030-22232-1_10
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DOI: https://doi.org/10.1007/978-3-030-22232-1_10
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