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The weak Extension Principle

Alessandro Vignati ⟨ale.vignati@gmail.com⟩

Abstract:

We study the weak Extension Principle wEP allowing us to completely understand maps between \v{C}ech-Stone remainders of locally compact noncompact second countable spaces, generalising work of Farah in the 2000s. In short, the wEP asserts that all maps between such remainders come from maps between the underlying spaces. We show that once assuming fairly mild axioms (namely the Open Colouring Axiom and Martin’s Axiom) the wEP holds, while this is not the case if the Continuum Hypothesis holds. This is joint work with D. Yilmaz.

Scheduled for: 2025-03-08 11:35 AM: Alessandro Vignati (virtual) in Forbes 2070A

Status: Accepted

Collection: Continuum Theory

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