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arXiv:1106.5116 [math.GN]AbstractReferencesReviewsResources

A counterexample in the theory of $D$-spaces

Daniel T. Soukup, Paul J. Szeptycki

Published 2011-06-25Version 1

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.

Comments: 15 pages, submitted to Top. Appl
Categories: math.GN
Subjects: 54D20, 54A35
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