From Objects to Diagrams for Ranges of Functors / by Pierre Gillibert, Friedrich Wehrung.
Tipo de material:
TextoSeries Lecture Notes in Mathematics ; 2029Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: CLviii, 10 páginas 19 ilustraciones recurso en líneaTipo de contenido: - texto
- computadora
- recurso en línea
- 9783642217746
- QA150-272
Contenidos:
Resumen: 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.
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.
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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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