We study the weak Extension Principle $\mathrm{wEP}$ 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 $\mathrm{wEP}$ 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 $\mathrm{wEP}$ holds, while this is not the case if the Continuum Hypothesis holds. This is joint work with D. Yilmaz.