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Gillibert, Pierre.

From Objects to Diagrams for Ranges of Functors [electronic resource] / by Pierre Gillibert, Friedrich Wehrung. - CLVIII, 10p. 19 illus. online resource. - Lecture Notes in Mathematics, 2029 0075-8434 ; .

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.

ISBN: 9783642217746

Subjects--Topical Terms:
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.

LC Class. No.: QA150-272

Dewey Class. No.: 512