The need for an axiomatic treatment of homology and cohomology
theory has long been felt by topologists. Professors Eilenberg and
Steenrod present here for the first time an axiomatization of the
complete transition from topology to algebra. Originally published
in 1952. The Princeton Legacy Library uses the latest
print-on-demand technology to again make available previously
out-of-print books from the distinguished backlist of Princeton
University Press. These editions preserve the original texts of
these important books while presenting them in durable paperback
and hardcover editions. The goal of the Princeton Legacy Library is
to vastly increase access to the rich scholarly heritage found in
the thousands of books published by Princeton University Press
since its founding in 1905.
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