A counterexample in the theory of D-spaces
classification
🧮 math.GN
keywords
examplelindelspaceassumingconstructcounterexamplediamondsuitfinite
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Assuming $\diamondsuit$, we construct a $T_2$ example of a hereditarily Lindel\"of space of size $\omega_1$ which is not a $D$-space. The example has the property that all finite powers are also Lindel\"of.
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