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From Objects to Diagrams for Ranges of Functors

by Gillibert, Pierre.
Authors: Wehrung, Friedrich.%author. | SpringerLink (Online service) Series: Lecture Notes in Mathematics, 0075-8434 ; . 2029 Physical details: CLVIII, 10p. 19 illus. online resource. ISBN: 3642217745 Subject(s): Mathematics. | Algebra. | K-theory. | Logic, Symbolic and mathematical. | Mathematics. | Algebra. | Category Theory, Homological Algebra. | General Algebraic Systems. | Order, Lattices, Ordered Algebraic Structures. | Mathematical Logic and Foundations. | K-Theory.
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Item type Location Call Number Status Date Due
E-Book E-Book AUM Main Library 512 (Browse Shelf) Not for loan

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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