|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNISA996466505003316 |
|
|
Autore |
Gillibert Pierre |
|
|
Titolo |
From Objects to Diagrams for Ranges of Functors [[electronic resource] /] / by Pierre Gillibert, Friedrich Wehrung |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2011.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (X, 158 p. 19 illus.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 0075-8434 ; ; 2029 |
|
|
|
|
|
|
Classificazione |
|
18A3018A2518A2018A3503E0505D1006A0706A12 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Algebra |
Category theory (Mathematics) |
Homological algebra |
Ordered algebraic structures |
Mathematical logic |
K-theory |
Category Theory, Homological Algebra |
General Algebraic Systems |
Order, Lattices, Ordered Algebraic Structures |
Mathematical Logic and Foundations |
K-Theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
|
|