Categorical Structure of Closure Operators: With Applications to Topology, Algebra and Discrete Mathematics
Dikran N. Dikranjan
ISBN 10: 0792337727 ISBN 13: 9780792337720
Editore: Springer, 1995
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Descrizione:
New copy - Usually dispatched within 7-11 working days. Codice articolo B9780792337720
Riassunto:
This study provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operators are used to give solutions to the epimorphism and co-well-poweredness problem in many concrete categories. The material is illustrated with many examples and exercises, and open problems are formulated which should stimulate further research. Knowledge of algebra, topology, and the basic notions of category theory is assumed.
Recensione:
` ... substantial enrichment of the literature on closure operators. Anybody working in this field should look into it; in the reviewer's opinion such a look will in most cases be rewarded. ... recommended to mathematicians ... best suited for graduate students and research mathematicians.'
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Titolo: Categorical Structure of Closure Operators: ...
Casa editrice: Springer
Data di pubblicazione: 1995
Legatura: Hardback
Condizione: New