Elementary submodels and separable monotonically normal compacta

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.

Revised version

Cited by in corpus (2)

• The basis problem for subspaces of monotonically normal compacta
• A quotient-like construction involving elementary submodels