Henri Cartan and Samule Eilenberg- HOMOLOGICAL ALGEBRA.pdf

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HOMOLOGICAL ALGEBRA
PRINCETON MATHEMATICAL SERIES
Editors: MARSTON MORSE and A. W. TUCKER
1. The Classical Groups, Their Invariants and Representations. By HERMANN
WEYL.
2. Topological Groups. By L. PONTRJAGIN. Translated by EMMA LEHMER.
3. An Introduction to Differential Geometry with Use of the Tensor Calculus. By
LUTHER PFAHLER EISENHART.
4. Dimension Theory. By WITOLD HUREWICZ and HENRY WALLMAN.
5. The Analytical Foundations of Celestial Mechanics. By AUREL WINTNER.
6. The Laplace Transform. By DAVID VERNON WIDDER.
7. Integration. By EDWARD JAMES MCSHANE.
8. Theory of Lie Groups: I. By CLAUDE CHEVALLEY.
9. Mathematical Methods of Statistics. By HARALD CRAMER.
10. plex Variables. By SALOMON BOCHNER and WILLIAM TED MARTIN.
1 1 . Introduction to Topology. By SOLOMON LEFSCHETZ.
12. Topology of Surfaces and Their Transformations. By JAKOB NIELSEN and WERNER
FENCHEL.
13. Algebraic Curves. By ROBERT J. WALKER.
14. The Topology of Fibre Bundles. By NORMAN STEENROD.
15. Foundations of Algebraic Topology. By SAMUEL EILENBERG and NORMAN
STEENROD.
16. Functionals of Finite Riemann Surfaces. By MENAHEM SCHIFFER and DONALD C.
SPENCER.
17. Introduction to Mathematical Logic, Vol. I. By ALONZO CHURCH.
18. Algebraic Geometry. By SOLOMON LEFSCHETZ.
19. Homological Algebra. By HENRI CARTAN and SAMUEL EILENBERG.
20. The Convolution Transform. By I. I. HIRSCHMAN and D. V. WIDDER.
HOMOLOGICAL
ALGEBRA
By
HENRI CARTAN
and
SAMUEL EILENBERG
PRINCETON, NEW JERSEY
PRINCETON UNIVERSITY PRESS
1956
Published, 7955, by Princeton University Press
LC Card No. 53-10148
LONDON: GEOFFREY CUMBERLEOE
OXFORD UNIVERSITY PRESS
COMPOSITION BY THE PITMAN PRESS, BATH
PRINTED IN THE UNITED STATES OF AMERICA