On Some Branched Surfaces Which Admit Expanding Immersions II

Abstract

Let $K$ be a branched surface whose branch set $S$ is an embedded circle and such that $K\backslash S$ is connected and oriented. We show that $K$ does not admit expanding immersions. Combined with our previous result [3], this implies that among branched surfaces with branch sets single embedded circles, there are only two which admit expanding immersions.