English

Combinatorial properties on nodec countable spaces with analytic topology

General Topology 2020-01-09 v2

Abstract

We study some variations of the product topology on families of clopen subsets of 2N×N2^{\mathbb{N}}\times\mathbb{N} in order to construct countable nodec regular spaces (i.e. in which every nowhere dense set is closed) with analytic topology which in addition are not selectively separable and do not satisfy the combinatorial principle q+q^+.

Keywords

Cite

@article{arxiv.1906.10505,
  title  = {Combinatorial properties on nodec countable spaces with analytic topology},
  author = {Javier Murgas and Carlos Uzcátegui},
  journal= {arXiv preprint arXiv:1906.10505},
  year   = {2020}
}
R2 v1 2026-06-23T10:03:02.336Z