Seminar on Triples and Categorical Homology Theory PDF Download
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Author: H. Appelgate
Publisher: Springer
ISBN: 3540360913
Category : Mathematics
Languages : en
Pages : 408
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Author: H. Appelgate
Publisher: Springer
ISBN: 3540360913
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Author: Beno Eckmann
Publisher:
ISBN: 9780387046013
Category : Categories (Mathematics)
Languages : en
Pages : 398
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Author: H. Appelgate
Publisher:
ISBN:
Category : Categories (Mathematics)
Languages : en
Pages : 0
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Author: John Williford Duskin
Publisher: American Mathematical Soc.
ISBN: 0821818635
Category : Mathematics
Languages : en
Pages : 146
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Book Description
The author gives a Yoneda-type interpretation of triple cohomology in a nonabelian setting. The impetus for this work comes from several sources, Eilenberg-MacLane cohomology of groups and its interpretations, the cohomology theory [bold]Ext[superscript italic]n for modules, and obstruction theory in topology. As the author states, the use of triples has yielded a tremendous unification of a variety of cohomology theories. In addition to the algebraic theories above there are Hochschild and Shukla's cohomology of associative algebras, Harrison's and the Andre-Quillen cohomology of commutative rings, and classical Čech cohomology for a general discussion.
Author: George Janelidze, Bodo Pareigis, and Walter Tholen
Publisher: American Mathematical Soc.
ISBN: 9780821871478
Category :
Languages : en
Pages : 588
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Author: James A. Yorke
Publisher: Springer
ISBN: 3540363068
Category : Mathematics
Languages : en
Pages : 282
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Author: George Janelidze
Publisher: American Mathematical Soc.
ISBN: 0821832905
Category : Mathematics
Languages : en
Pages : 582
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Book Description
This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas. This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabeliancategories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures. Articles are suitable for graduate students and researchers,specifically those interested in Galois theory and Hopf algebras and their categorical unification.
Author: Michael Barr
Publisher: American Mathematical Soc.
ISBN: 0821828770
Category : Mathematics
Languages : en
Pages : 194
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Book Description
Acyclic models is a method heavily used to analyze and compare various homology and cohomology theories appearing in topology and algebra. This book is the first attempt to put together in a concise form this important technique and to include all the necessary background. It presents a brief introduction to category theory and homological algebra. The author then gives the background of the theory of differential modules and chain complexes over an abelian category to state the main acyclic models theorem, generalizing and systemizing the earlier material. This is then applied to various cohomology theories in algebra and topology. The volume could be used as a text for a course that combines homological algebra and algebraic topology. Required background includes a standard course in abstract algebra and some knowledge of topology. The volume contains many exercises. It is also suitable as a reference work for researchers.
Author: Francois Sigrist
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165
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Author: N. H. Kuiper
Publisher: Springer
ISBN: 3540366539
Category : Mathematics
Languages : en
Pages : 240
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