Topologies of Hilbert space effect algebras and scale effect algebras

In this paper, we study the topologies of scale effect algebras and Hilbert space effect algebras and obtain: (1) The interval topology and the order topology of scale effect algebras are the same and they are Hausdorff; The effect algebraic operations ⊕ and ⊖ are two variables continuous in the scale effect algebras with the interval topology. (2)We give the relationships between the interval topology, order topology, weak operator topology and strong operator topology of the Hilbert space effect algebras.