English

Products of Menger spaces in the Miller model

General Topology 2018-09-25 v2 Logic

Abstract

We prove that in the Miller model the Menger property is preserved by finite products of metrizable spaces. This answers several open questions and gives another instance of the interplay between classical forcing posets with fusion and combinatorial covering properties in topology.

Keywords

Cite

@article{arxiv.1806.10385,
  title  = {Products of Menger spaces in the Miller model},
  author = {Lyubomyr Zdomskyy},
  journal= {arXiv preprint arXiv:1806.10385},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1712.03899