English

A counterexample in the theory of $D$-spaces

General Topology 2011-06-28 v1

Abstract

Assuming \diamondsuit, we construct a T2T_2 example of a hereditarily Lindel\"of space of size ω1\omega_1 which is not a DD-space. The example has the property that all finite powers are also Lindel\"of.

Keywords

Cite

@article{arxiv.1106.5116,
  title  = {A counterexample in the theory of $D$-spaces},
  author = {Daniel T. Soukup and Paul J. Szeptycki},
  journal= {arXiv preprint arXiv:1106.5116},
  year   = {2011}
}

Comments

15 pages, submitted to Top. Appl