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130626 ||| eng |
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|a 9783642217746
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|a Gillibert, Pierre
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|a From Objects to Diagrams for Ranges of Functors
|h Elektronische Ressource
|c by Pierre Gillibert, Friedrich Wehrung
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| 250 |
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|a 1st ed. 2011
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2011, 2011
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| 300 |
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|a X, 158 p. 19 illus
|b online resource
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|a 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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| 653 |
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|a General Algebraic Systems
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| 653 |
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|a K-Theory
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| 653 |
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|a Homological algebra
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| 653 |
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|a Mathematical logic
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| 653 |
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|a Order, Lattices, Ordered Algebraic Structures
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| 653 |
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|a Mathematical Logic and Foundations
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| 653 |
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|a Algebra
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| 653 |
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|a Category Theory, Homological Algebra
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| 653 |
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|a K-theory
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| 653 |
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|a Algebra
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| 653 |
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|a Ordered algebraic structures
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| 653 |
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|a Category theory (Mathematics)
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| 700 |
1 |
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|a Wehrung, Friedrich
|e [author]
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Lecture Notes in Mathematics
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| 856 |
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|u https://doi.org/10.1007/978-3-642-21774-6?nosfx=y
|x Verlag
|3 Volltext
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|a 512
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| 520 |
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|a 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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