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arXiv · 1106.5116

A counterexample in the theory of $D$-spaces

Daniel T. Soukup·Paul J. Szeptycki
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Abstract

Assuming $\diamondsuit$, we construct a $T_2$ example of a hereditarily Lindelöf space of size $ω_1$ which is not a $D$-space. The example has the property that all finite powers are also Lindelöf.

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Daniel T. Soukup, Paul J. Szeptycki. 2011-06-25. A counterexample in the theory of $D$-spaces. https://arxiv.org/abs/1106.5116

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