From Objects to Diagrams for Ranges of Functors [electronic resource] / by Pierre Gillibert, Friedrich Wehrung.
Tipo de material: TextoSeries Lecture Notes in Mathematics ; 2029 | Lecture Notes in Mathematics ; 2029Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: X, 158 p. 19 illus. online resourceTipo de contenido:- text
- computer
- online resource
- 9783642217746
- SpringerLink (Online service)
- 512 23
- Libro electrónico
Contenidos:
Springer eBooksResumen: This work introduces tools from the field of category theory that make it possible to tackle a number of representation problems that have remained unsolvable to date (e.g. the determination of the range of a given functor). The basic idea is: if a functor lifts many objects, then it also lifts many (poset-indexed) diagrams.
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1 Background -- 2 Boolean Algebras Scaled with Respect to a Poset -- 3 The Condensate Lifting Lemma (CLL) -- 4 Larders from First-order Structures -- 5 Congruence-Preserving Extensions -- 6 Larders from von Neumann Regular Rings -- 7 Discussion.
This work introduces tools from the field of category theory that make it possible to tackle a number of representation problems that have remained unsolvable to date (e.g. the determination of the range of a given functor). The basic idea is: if a functor lifts many objects, then it also lifts many (poset-indexed) diagrams.
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