Topological semi-abelian algebras

• Author(s): Borceux, F. ; Clementino, Maria Manuel
• Date: 2005
• Persistent ID: http://hdl.handle.net/10316/4633
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Topological algebra; Algebraic theory; Semi-abelian category
• Document Type: Article
• Language: English

Description

Given an algebraic theory whose category of models is semi-abelian, we study the category of topological models of and generalize to it most classical results on topological groups. In particular, is homological, which includes Barr regularity and forces the Mal'cev property. Every open subalgebra is closed and every quotient map is open. We devote special attention to the Hausdorff, compact, locally compact, connected, totally disconnected and profinite -algebras. http://www.sciencedirect.com/science/article/B6W9F-4CB07X6-1/1/61cf6d089f1d054878b360422bce8da1