Cheng, GuozhengFang, Xiang2013-01-042013-01-042012-11-14http://hdl.handle.net/2097/15194In this paper we prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain. Besides its own interests, this fills a gap in [3]. Our proof relies on the 4 × 4 matrix model of semi-Fredholm operators [2].en-USThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).Cellular indecomposable propertySemi-Fredholm operatorSingular pointsOn cellular indecomposable property of semi-Fredholm operatorsArticle (author version)