From objects to diagrams for ranges of functors

著者

書誌事項

From objects to diagrams for ranges of functors

Pierre Gillibert, Friedrich Wehrung

(Lecture notes in mathematics, 2029)

Springer, c2011

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注記

Includes bibliographical references (p. 143-146) and indexes

内容説明・目次

内容説明

This work introduces tools, from the field of category theory, that make it possible to tackle until now unsolvable representation problems (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.

目次

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.

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