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Epireflection operators vs perfect morphisms and closed classes of epimorphisms

Published online by Cambridge University Press:  17 April 2009

G.E. Strecker
G.E. Strecker
Affiliation:
University of Pittsburgh, Pittsburgh, Pennsylvania, USA
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Abstract

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Operators are defined that yield basic Galois closure operations for almost every category. These give rise to a new and more general approach for characterization of epireflective subcategories, and construction of epireflective hulls. As a by-product, satisfactory characterizations of classes of perfect morphisms and ω-extendable epimorphisms are obtained. Detailed proofs and examples will appear elsewhere.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 3 , December 1972 , pp. 359 - 366
Copyright
Copyright © Australian Mathematical Society 1972

References

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