The gap between 𝑐𝑚𝑝𝑋 and 𝑑𝑒𝑓𝑋 can be arbitrarily large

The gap between $\textrm {cmp} X$ and $\textrm {def} X$ can be arbitrarily large
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Proc. Amer. Math. Soc. 102 (1988), 1077-1080 Request permission

We give an example of a separable metrizable space $X$ with def $X - {\text {cmp}}\;X = n$ for every $n \in \mathbb {N}$.

References

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Review of R. Pol’s paper

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85b

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