Functor Categories And Their Application To Relative Homology
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Functor Categories And Their Application To Relative Homology
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Author : Peter J. Freyd
language : en
Publisher:
Release Date : 1962
Functor Categories And Their Application To Relative Homology written by Peter J. Freyd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Abelian categories categories.
Category Theory Homology Theory And Their Applications Proceedings Of The Conference Held At The Seattle Research Center Of The Battelle Memorial Institute June 24 July 19 1968
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Author : P.J. Hilton
language : en
Publisher: Springer
Release Date : 2006-11-14
Category Theory Homology Theory And Their Applications Proceedings Of The Conference Held At The Seattle Research Center Of The Battelle Memorial Institute June 24 July 19 1968 written by P.J. Hilton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Lectures On Functor Homology
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Author : Vincent Franjou
language : en
Publisher: Birkhäuser
Release Date : 2015-12-08
Lectures On Functor Homology written by Vincent Franjou and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Mathematics categories.
This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods for tackling difficult mathematical problems. In the lectures by Aurélien Djament, polynomial functors appear as coefficients in the homology of infinite families of classical groups, e.g. general linear groups or symplectic groups, and their stabilization. Djament’s theorem states that this stable homology can be computed using only the homology with trivial coefficients and the manageable functor homology. The series includes an intriguing development of Scorichenko’s unpublished results. The lectures by Wilberd van der Kallen lead to the solution of the general cohomological finite generation problem, extending Hilbert’s fourteenth problem and its solution to the context of cohomology. The focus here is on the cohomology of algebraic groups, or rational cohomology, and the coefficients are Friedlander and Suslin’s strict polynomial functors, a conceptual form of modules over the Schur algebra. Roman Mikhailov’s lectures highlight topological invariants: homoto py and homology of topological spaces, through derived functors of polynomial functors. In this regard the functor framework makes better use of naturality, allowing it to reach calculations that remain beyond the grasp of classical algebraic topology. Lastly, Antoine Touzé’s introductory course on homological algebra makes the book accessible to graduate students new to the field. The links between functor homology and the three fields mentioned above offer compelling arguments for pushing the development of the functor viewpoint. The lectures in this book will provide readers with a feel for functors, and a valuable new perspective to apply to their favourite problems.
Category Theory Homology Theory And Their Applications
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Author :
language : en
Publisher:
Release Date : 1969
Category Theory Homology Theory And Their Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Categories (Mathematics) categories.
Seminar On Triples And Categorical Homology Theory
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Author : H. Appelgate
language : en
Publisher: Springer
Release Date : 2006-11-14
Seminar On Triples And Categorical Homology Theory written by H. Appelgate and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Category Theory Homology Theory And Their Applications
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Author :
language : en
Publisher:
Release Date : 1969
Category Theory Homology Theory And Their Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Categories (Mathematics) categories.
Category Theory Homology Theory And Their Applications
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Author : Battelle Seattle Research Center
language : en
Publisher:
Release Date : 1969
Category Theory Homology Theory And Their Applications written by Battelle Seattle Research Center and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Algebraic topology categories.
Foundations Of Relative Homological Algebra
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Author : Samuel Eilenberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1965
Foundations Of Relative Homological Algebra written by Samuel Eilenberg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Algebra, Homological categories.
The main notion of this paper is that of a "projective class of sequences" in an arbitrary (pointed) category. Each such class carries with it its own projective objects. One can then talk about projective resolutions, and if the category is additive, all the usual properties of the resolutions hold. In particular, this will permit the development of homological algebra in some additive categories which are not abelian, e.g., the category of comodules over a coalgebra over an arbitrary commutative ring.
Relative Derived Functors And The Homology Of Groups
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Author : G. J. Ellis
language : en
Publisher:
Release Date : 1987
Relative Derived Functors And The Homology Of Groups written by G. J. Ellis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Seminar On Triples And Categorical Homology Theory
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Author : H. Appelgate
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1969-02
Seminar On Triples And Categorical Homology Theory written by H. Appelgate and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969-02 with Mathematics categories.