| Institution: | Department of Mathematics and Statistics, University of Nebraska at Lincoln, Lincoln, Nebraska 68588-0323 ; Department of Mathematics, East Carolina University, Greenville, North Carolina 27858--4353 ; Department of Mathematics, East Carolina University, Greenville, North Carolina 27858--4353 |
| Abstract: | We prove that algebraic isomorphisms between limit algebras are automatically continuous, and consider the consequences of this result. In particular, we give partial solutions to a conjecture and an open problem by Power. As a further consequence, we describe epimorphisms between various classes of limit algebras. |
