Screen LibraryFrom objects to diagrams for ranges of functors
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | ; |
| Published: |
Springer-Verlag,
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| Publisher Address: | Berlin Heidelberg New York |
| Publication Dates: | c2011. |
| Literature type: | Book |
| Language: | English |
| Series: |
Lecture notes in mathematics ; 2029 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-3-642-21774-6 |
| Carrier Form: | 1 online resource (x, 158 p.): ill. |
| ISBN: |
9783642217746 (electronic bk.) 3642217745 (electronic bk.) |
| Index Number: | O153 |
| CLC: | O153.2 |
| Contents: |
Includes bibliographical references (p. 143-146) and indexes. Background -- Boolean algebras that are scaled with respect to a poset -- The condensate lifting lemma (CLL) -- Getting larders from congruence lattices of first-order structures -- congruence-permutable, congruence-preserving extensions of lattices -- Larders from Von Neumann regular rings -- 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." --P. [4] of cover. |