From Objects to Diagrams for Ranges of Functors

• Main Authors: Gillibert, Pierre (Author), Wehrung, Friedrich (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Lecture Notes in Mathematics, 2029
• Subjects: 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.
• Physical Description: X, 158 p. 19 illus. online resource.
• ISBN: 9783642217746
• ISSN: 0075-8434 ;

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.