From objects to diagrams for ranges of functors
著者
書誌事項
From objects to diagrams for ranges of functors
(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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