From Objects to Diagrams for Ranges of Functors

• Κύριοι συγγραφείς: Gillibert, Pierre (Συγγραφέας), Wehrung, Friedrich (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Lecture Notes in Mathematics, 2029
• Θέματα: Mathematics.; Algebra.; Category theory (Mathematics).; Homological algebra.; K-theory.; Ordered algebraic structures.; Mathematical logic.; Category Theory, Homological Algebra.; General Algebraic Systems.; Order, Lattices, Ordered Algebraic Structures.; Mathematical Logic and Foundations.; K-Theory.

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...

Πίνακας περιεχομένων:

• 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.