2 papers
math.GN2000
Hereditary indecomposability and the Intermediate Value Theorem
Alan Dow, Klaas Pieter Hart
We show that hereditarily indecomposable spaces can be characterized by a special instance of the Intermediate Value Theorem in their rings of continuous functions.
math.LO1999
The measure algebra does not always embed
Alan Dow, Klaas Pieter Hart
The Open Colouring Axiom implies that the measure algebra cannot be embedded into P(N)/fin. We also discuss the errors in previous results on the embeddability of the measure algeb…