From Objects to Diagrams for Ranges of Functors /
Gillibert, Pierre.
From Objects to Diagrams for Ranges of Functors / by Pierre Gillibert, Friedrich Wehrung. - CLviii, 10 páginas 19 ilustraciones recurso en línea. - Lecture Notes in Mathematics, 2029 0075-8434 ; .
Springer eBooks
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.
9783642217746
10.1007/9783642217746 doi
QA150-272
From Objects to Diagrams for Ranges of Functors / by Pierre Gillibert, Friedrich Wehrung. - CLviii, 10 páginas 19 ilustraciones recurso en línea. - Lecture Notes in Mathematics, 2029 0075-8434 ; .
Springer eBooks
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.
9783642217746
10.1007/9783642217746 doi
QA150-272