Weak Chainability of Arc Folders

Arc folders are continua that admit mappings onto an arc where the preimage of each point is either an arc or a point. We show that all arc folders are weakly chainable. Equivalently, they are continuous images of the pseudo-arc. We conclude that a continuum X that admits a mapping f : X -> Y onto a locally connected continuum Y, where the preimage of each point is either an arc or a point, is weakly chainable.