Uniform topology on EQ-algebras
Jiang Yang, Xiao Long Xin, Peng He Β· Open Mathematics Β· 2017
Abstract In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, π), and then the part π induce a uniform topology π― in E. We prove that the pair (E, π―) is a topological EQ-algebra, and some properties of (E, π―) are investigated. In particular, we show that (E, π―) is a first-countable, zero-dimensional, disconnected and completely regular space. Finally, by using convergence of nets, the convergence of topological EQ-algebras is obtained.