From Objects to Diagrams for Ranges of Functors [electronic resource] / by Pierre Gillibert, Friedrich Wehrung.

By:

Gillibert, Pierre [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 2029Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: X, 158 p. 19 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783642217746

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

512 23

LOC classification:

QA150-272

Online resources:

Click here to access online

Contents:

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.

In: Springer eBooksSummary: 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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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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