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Algebraic fields --- Duality theory (Mathematics) --- Homology theory --- 511.33 --- Cohomology theory --- Contrahomology theory --- Algebraic topology --- Algebra --- Mathematical analysis --- Topology --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Algebraic fields. --- Homology theory. --- Duality theory (Mathematics). --- 511.33 Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Analytical and multiplicative number theory. Asymptotics. Sieves etc --- Geometry, Algebraic. --- Géométrie algébrique --- Galois cohomology --- Cohomologie galoisienne. --- Géométrie algébrique --- Cohomologie galoisienne --- Geometrie algebrique --- Cohomologie