Countable Tightness, Elementary Submodels and Homogeneity

2005/01/05 by Ramiro de la Vega, de la Vega, Ramiro
Mathematics · #54A25 (Primary) 03E35 (Secundary) #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #math.GN #math.LO #msc:03E35 #msc:54A25

paper · pdf · doi:10.48550/arxiv.math/0501076

6 pages

arxiv created 2005/01/05 · arxiv updated 2009/12/01

Abstract

We show (in ZFC) that the cardinality of a compact homogeneous space of countable tightness is no more than the size of the continuum.

Related

• On σ-countably tight spaces
• S-spaces and large continuum
• G_δ covers of compact spaces
• Countable tightness is not discretely reflexive in σ-compact spaces
• Remarks on countable tightness