Torsion theories and Galois coverings of topological groups |
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Authors: | Marino Gran Valentina Rossi |
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Affiliation: | a Lab. Math. Pures et Appliquées, Université du Littoral Côte d’Opale, 50 Rue F. Buisson, 62228 Calais, France b Università degli Studi di Udine, Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100 Udine, Italy |
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Abstract: | For any torsion theory in a homological category, one can define a categorical Galois structure and try to describe the corresponding Galois coverings. In this article we provide several characterizations of these coverings for a special class of torsion theories, which we call quasi-hereditary. We describe a new reflective factorization system that is induced by any quasi-hereditary torsion theory. These results are then applied to study various examples of torsion theories in the category of topological groups. |
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Keywords: | 18E40 18C20 22A99 |
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