From objects to diagrams for ranges of functors

"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...

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Bibliographic Details
Main Author: Gillibert, Pierre
Corporate Author: SpringerLink (Online service)
Other Authors: Wehrung, F. (Friedrich), 1961-
Format: eBook
Language:English
Published: Berlin ; Heidelberg ; New York : Springer-Verlag, ©2011.
Berlin ; Heidelberg ; New York : [2011]
Series:Lecture notes in mathematics (Springer-Verlag) ; 2029.
Physical Description:
1 online resource (x, 158 pages) : illustrations.
Subjects:
Functor theory.
Algebra, Boolean.
Algebraic logic.
Online Access:SpringerLink - Click here for access

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245 1 0 |a From objects to diagrams for ranges of functors /  |c Pierre Gillibert, Friedrich Wehrung. 
260 |a Berlin ;  |a Heidelberg ;  |a New York :  |b Springer-Verlag,  |c ©2011. 
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520 |a "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."--Page 4 of cover. 
504 |a Includes bibliographical references (pages 143-146) and indexes. 
505 0 |a Background -- Boolean algebras that are scaled with respect to a poset -- The condensate lifting lemma (CLL) -- Getting larders from congruence lattices of first-order structures -- congruence-permutable, congruence-preserving extensions of lattices -- Larders from Von Neumann regular rings -- Discussion. 
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650 6 |a Théorie des foncteurs. 
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650 6 |a Logique algébrique. 
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