A counterexample in the theory of $D$-spaces

Details A counterexample in the theory of $D$-spaces A counterexample in the theory of $D$-spaces

2011-06-25

arxiv.org/abs/1106.5116v1

Mathematics

General Topology

15 pages, submitted to Top. Appl

Scientific paper

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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