On regular and homological closure operators

• Author(s): Clementino, Maria Manuel ; Gutierres, Gonçalo
• Date: 2009
• Persistent ID: http://hdl.handle.net/10316/13629
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Regular closure operator; Homological closure operator; Maximal closure operator; Torsion theory
• Document Type: Preprint
• Language: English

Description

Observing that weak heredity of regular closure operators in Top and of homological closure operators in homological categories identifies torsion theories, we study these closure operators in parallel, showing that regular closure operators play the same role in topology as homological closure operators do algebraically.