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This volume contains research papers and survey articles written
by Beno Eckmann from 1941 to 1986. The aim of the compilation is to
provide a general view of the breadth of Eckmann s mathematical
work. His influence was particularly strong in the development of
many subfields of topology and algebra, where he repeatedly pointed
out close, and often surprising, connections between them and other
areas. The surveys are exemplary in terms of how they make
difficult mathematical ideas easily comprehensible and accessible
even to non-specialists. The topics treated here can be classified
into the following, not entirely unrelated areas: algebraic
topology (homotopy and homology theory), algebra, group theory and
differential geometry. Beno Eckmann was Professor of Mathematics at
the University of Lausanne, 1942-48, and Principal of the Institute
for Mathematical Research at the ETH Zurich, 1964-84, where he was
therefore an emeritus professor."
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.
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 from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applications and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field.
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