CH and the Moore-Mrowka Problem

2014/09/01 by Dow, Alan, Eisworth, Todd
#FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1409.0579

Abstract

We show that the Continuum Hypothesis is consistent with all regular spaces of hereditarily countable π-character being C-closed. This gives us a model of ZFC in which the Continuum Hypothesis holds and compact Hausdorff spaces of countable tightness are sequential.

Related

• Countable Tightness, Elementary Submodels and Homogeneity
• Sequential convergence in topological spaces
• Countable tightness is not discretely reflexive in σ-compact spaces
• Countable Tightness and the Grothendieck Property in C_p-Theory
• S-spaces and large continuum