Homology theory: A first course in algeb
β Sze-Tsen Hu
π Library
π
1966
π Holden-Day, Inc.
π English
β¦ LIBER β¦
π
A Course in Homological Algebra
β Scribed by P. J. Hilton, U. Stammbach (auth.)
- Publisher
- Springer New York
- Year
- 1971
- Tongue
- English
- Leaves
- 350
- Series
- Graduate Texts in Mathematics 4
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In the new edition of this broad introduction to the field, the authors address a number of select topics and describe their applications, illustrating the range and depth of their developments. A comprehensive set of exercises is included.
β¦ Table of Contents
Front Matter....Pages I-IX
Introduction....Pages 1-9
Modules....Pages 10-39
Categories and Functors....Pages 40-83
Extensions of Modules....Pages 84-115
Derived Functors....Pages 116-165
The KΓΌnneth Formula....Pages 166-183
Cohomology of Groups....Pages 184-228
Cohomology of Lie Algebras....Pages 229-254
Exact Couples and Spectral Sequences....Pages 255-305
Satellites and Homology....Pages 306-330
Back Matter....Pages 331-340
β¦ Subjects
Mathematics, general
π SIMILAR VOLUMES
A Course in Homological Algebra
β P. J. Hilton, U. Stammbach (auth.)
π Library
π
1971
π Springer New York
π English
Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In the new edition of this broad introduction to the field, the authors address a number of select t
A Course in Homological Algebra
β Peter J. Hilton, Urs Stammbach (auth.)
π Library
π
1997
π Springer-Verlag New York
π English
<p>We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other
A Course in Homological Algebra
β P. J. Hilton, U. Stammbach (auth.)
π Library
π
1971
π Springer New York
π English
A Course in Homological Algebra
β P.J. Hilton; Urs Stammbach
π Library
π Springer
π English
In this chapter we are largely influenced in our choice of material by the demands of the rest of the book. However, we take the view that this is an opportunity for the student to grasp basic categorical notions which permeate so much of mathematics today, including, of course, algebraic topology,
A Course in Homological Algebra
β P. J. Hilton, U. Stammbach (auth.)
π Library
π
1971
π Springer New York
π English
This classic book provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging