Overview
- The book is centered on two statements: namely, CLL, and its main precursor, the Armature Lemma, which are results of category theory, with hard proofs, which appear here for the first time. Most of the book is aimed at applications outside category theory, and is thus written as a toolbox.
- The results of the book illustrate how certain representation problems have counterexamples of different cardinalities such as aleph zero, one, two, and explain why.
- CLL and the Armature Lemma have a wide application range, which we illustrate with examples in lattice theory, universal algebra, and ring theory. We also give pointers to solutions, made possible by our results, to previously intractable representation problems, with respect to various functors.
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2029)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
Authors and Affiliations
Bibliographic Information
Book Title: From Objects to Diagrams for Ranges of Functors
Authors: Pierre Gillibert, Friedrich Wehrung
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-21774-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-21773-9Published: 09 July 2011
eBook ISBN: 978-3-642-21774-6Published: 09 July 2011
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 158
Number of Illustrations: 19 b/w illustrations
Topics: Algebra, Category Theory, Homological Algebra, General Algebraic Systems, Order, Lattices, Ordered Algebraic Structures, Mathematical Logic and Foundations, K-Theory