Topological semi-abelian algebras

• Autor(es): Borceux, F. ; Clementino, Maria Manuel
• Data: 2005
• Identificador Persistente: http://hdl.handle.net/10316/4633
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Topological algebra; Algebraic theory; Semi-abelian category
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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