Homology

Paperback (Reprint of the 1st ed. Berlin, Heidelberg, New York 1975. 4th printing 1994.)
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Product Details

  • ISBN-13: 9783540586623
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 2/15/1995
  • Series: Classics in Mathematics Series
  • Edition description: Reprint of the 1st ed. Berlin, Heidelberg, New York 1975. 4th printing 1994.
  • Edition number: 1
  • Pages: 432
  • Product dimensions: 0.89 (w) x 6.14 (h) x 9.21 (d)

Meet the Author

Biography of Saunders Mac Lane

Saunders Mac Lane was born on August 4, 1909 in Connecticut. He studied at Yale University and then at the University of Chicago and at Göttingen, where he received the D.Phil. in 1934. He has tought at Harvard, Cornell and the University of Chicago.

Mac Lane's initial research was in logic and in algebraic number theory (valuation theory). With Samuel Eilenberg he published fifteen papers on algebraic topology. A number of them involved the initial steps in the cohomology of groups and in other aspects of homological algebra - as well as the discovery of category theory. His famous and undergraduate textbook Survey of modern algebra, written jointly with G. Birkhoff, has remained in print for over 50 years. Mac Lane is also the author of several other highly successful books.

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Table of Contents

Introduction 1
Ch. I Modules, Diagrams, and Functors 8
Ch. II Homology of Complexes 34
Ch. III Extensions and Resolutions 63
Ch. IV Cohomology of Groups 103
Ch. V Tensor and Torsion Products 138
Ch. VI Types of Algebras 173
Ch. VII Dimension 200
Ch. VIII Products 220
Ch. IX Relative Homological Algebra 248
Ch. X Cohomology of Algebraic Systems 280
Ch. XI Spectral Sequences 318
Ch. XII Derived Functors 358
Bibliography 404
List of Standard Symbols 413
Index 415
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