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

By: Contributor(s): Material type: TextTextSeries: 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 titleDDC classification:
  • 512 23
LOC classification:
  • QA150-272
Online resources:
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.
Item type: E-BOOKS
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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.

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The Institute of Mathematical Sciences, Chennai, India