Elementary submodels and separable monotonically normal compacta

2006/08/15 by Todd Eisworth, Eisworth, Todd
Mathematics · #54E20 #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #math.GN #math.LO #msc:54E20

paper · pdf · doi:10.48550/arxiv.math/0608376

Revised version

arxiv created 2006/08/15 · arxiv updated 2009/12/01

Abstract

In this note, we use elementary submodels to prove that a separable monotonically normal compactum can be mapped on a separable metric space via a continuous function whose fibers have cardinality at most 2.

Related

• Countable Tightness, Elementary Submodels and Homogeneity
• PFA(S)[S] and Locally Compact Normal Spaces
• Isometric embeddings and continuous maps onto the irrationals
• A separate continuous function not feebly continuous
• Properties of the Class of Measure Separable Compact Spaces