Topological semi-abelian algebras

By Francis Borceux, Maria Manuel Clementino. 2005

73 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f7241be969e67fef977441f2d8d2016909d389f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Marino Gran
2. Tim Van der Linden
3. Walter Tholen
4. Dikran Dikranjan
5. Maria Manuel Clementino
6. Dominique Bourn
7. Sandra Mantovani
8. Giuseppe Metere

In Geometry and Topology

1. Marino Gran
2. Walter Tholen
3. Tim Van der Linden
4. Dikran Dikranjan
5. Maria Manuel Clementino
6. Gavin J. Seal
7. Dirk Hofmann
8. Sandra Mantovani

In Mathematical Physics

1. Marino Gran
2. Tim Van der Linden
3. Walter Tholen
4. Dikran Dikranjan
5. Maria Manuel Clementino
6. Dominique Bourn
7. Sandra Mantovani
8. Giuseppe Metere

Citations in the corpus

• On the second cohomology group in semi-abelian categories (2005, background): “Compact Hausdorff (profinite) groups or, more generally, compact Hausdorff (profinite) semi-abelian algebras are semi-abelian categories [5], as is the dual of the category of pointed sets, or the category of C-algebras.”
• Torsion theories and radicals in normal categories (2006, methodology): “(3) The category TopGrp (and, more generally, the category of models in Top for any semi-abelian theory, see [6]) is homological and (E,M)-normal, with (E,M) = (surjections, embeddings), but (generally) not semi-abelian.”