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Originally published: Homology theory on algebraic varieties. New York: Pergamon Press, 1957.
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This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular
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Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
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Homotopy Theory: An Introduction to Algebraic Topology