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Categorical Structure of Closure Operators

With Applications to Topology, Algebra and Discrete Mathematics
BuchKartoniert, Paperback
358 Seiten
Englisch
Springer Netherlandserschienen am04.12.2010
In spite of the fact that closure operators generalize the uni­ versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspects only en passant, in favour of the presentation of new results more closely related to our original intentions.mehr
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BuchGebunden
EUR106,99
BuchKartoniert, Paperback
EUR106,99

Produkt

KlappentextIn spite of the fact that closure operators generalize the uni­ versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspects only en passant, in favour of the presentation of new results more closely related to our original intentions.
Details
ISBN/GTIN978-90-481-4631-4
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2010
Erscheinungsdatum04.12.2010
ReiheMathematics and Its Applications
Seiten358 Seiten
SpracheEnglisch
IllustrationenXVIII, 358 p.
Artikel-Nr.10253611

Inhalt/Kritik

Inhaltsverzeichnis
1. Preliminaries on Subobjects, Images, and Inverse Images.- 2. Basic Properties of Closure Operators.- 3. Examples of Closure Operators.- 4. Operations on Closure Operators.- 5. Closure Operators, Functors, Factorization Systems.- 6. Regular Closure Operators.- 7. Subcategories Defined by Closure Operators.- 8. Epimorphisms and Cowellpoweredness.- 9. Dense Maps and Pullback Stability.- Index of Definitions.- Notation Index.- Tables of Results.mehr
Kritik
` ... 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.'
Mathematical Reviews Clippings 97imehr