From objects to diagrams for ranges of functors
Author(s)
Bibliographic Information
From objects to diagrams for ranges of functors
（Lecture notes in mathematics, 2029）
Springer, c2011
Available at / 49 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2029200021321284
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Note
Includes bibliographical references (p. 143-146) and indexes
Description and Table of Contents
Description
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.
Table of 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.
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