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512.66 --- 512.66 Homological algebra --- Homological algebra --- Category theory. Homological algebra
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Ordered algebraic structures --- 512.66 --- #WWIS:ALTO --- Homological algebra --- 512.66 Homological algebra --- Modules (Algebra). --- Algèbre homologique. --- Algebra, Homological
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Algebra, Homological --- 512.66 --- 512.66 Homological algebra --- Homological algebra --- Algebra, Abstract --- Homology theory --- Category theory. Homological algebra
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Ordered algebraic structures --- Category theory. Homological algebra --- 512.66 --- Homological algebra --- 512.66 Homological algebra --- Algèbres commutatives --- Homologie --- Commutative algebra --- Homology theory --- Algèbres commutatives. --- Homologie. --- Géométrie algébrique. --- Geometry, Algebraic
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Algebraic topology --- 512.66 --- Homological algebra --- 512.66 Homological algebra --- Homology theory --- Fiber spaces (Mathematics) --- Classifying spaces. --- Algebraic topology. --- Classifying spaces --- Cohomology theory --- Contrahomology theory --- Fibre spaces (Mathematics) --- Spaces, Classifying --- Fiber bundles (Mathematics) --- Topology
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Group theory --- Category theory. Homological algebra --- Homology theory --- Groupes, Théorie des --- Homologie --- 512.66 --- Homological algebra --- Group theory. --- Homology theory. --- 512.66 Homological algebra --- Théorie des groupes --- Théorie des groupes --- Théorie des groupes. --- Homologie.
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Category theory. Homological algebra --- Algèbre homologique --- 512.66 --- Homological algebra --- 512.66 Homological algebra --- Algèbre homologique --- Algebra, Homological --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- Algebra, Abstract --- Homology theory --- Algebra, Homological. --- Algèbre homologique.
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Group theory --- Category theory. Homological algebra --- 512.66 --- Algebra, Homological --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- #KOPO:Prof. R. Holvoet --- 512.54 --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Homological algebra --- Algebra, Abstract --- Homology theory --- Groups. Group theory --- Algebra, Homological. --- Group theory. --- 512.54 Groups. Group theory --- 512.66 Homological algebra --- Homologie.
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Algebra --- 512.66 --- 512.73 --- Homotopy theory --- Hopf algebras --- Algebras, Hopf --- Algebraic topology --- Deformations, Continuous --- Topology --- Homological algebra --- Cohomology theory of algebraic varieties and schemes --- 512.73 Cohomology theory of algebraic varieties and schemes --- 512.66 Homological algebra --- Homotopy theory. --- Hopf algebras. --- Homotopie --- Hopf, Algèbres de --- Homotopie. --- Hopf, Algèbres de.
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In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.
Group theory --- Finite groups --- Algebraic number theory --- 512.73 --- 512.66 --- Homology theory --- Number theory --- Cohomology theory --- Contrahomology theory --- Algebraic topology --- Groups, Finite --- Modules (Algebra) --- Cohomology theory of algebraic varieties and schemes --- Homological algebra --- 512.66 Homological algebra --- 512.73 Cohomology theory of algebraic varieties and schemes --- Groupes, Théorie des. --- Group theory. --- Homology theory. --- Finite groups. --- Algebraic number theory. --- Abelian group. --- Alexander Grothendieck. --- Algebraic closure. --- Algebraic extension. --- Algebraic geometry. --- Algebraic number field. --- Brauer group. --- Category of abelian groups. --- Category of sets. --- Characterization (mathematics). --- Class field theory. --- Cohomological dimension. --- Cohomology. --- Cokernel. --- Commutative diagram. --- Composition series. --- Computation. --- Connected component (graph theory). --- Coset. --- Cup product. --- Dedekind domain. --- Degeneracy (mathematics). --- Diagram (category theory). --- Dimension (vector space). --- Diophantine geometry. --- Discrete group. --- Equivalence of categories. --- Exact sequence. --- Existential quantification. --- Explicit formula. --- Exponential function. --- Family of sets. --- Field extension. --- Finite group. --- Fundamental class. --- G-module. --- Galois cohomology. --- Galois extension. --- Galois group. --- Galois module. --- Galois theory. --- General topology. --- Geometry. --- Grothendieck topology. --- Group cohomology. --- Group extension. --- Group scheme. --- Hilbert symbol. --- Hopf algebra. --- Ideal (ring theory). --- Inequality (mathematics). --- Injective sheaf. --- Inner automorphism. --- Inverse limit. --- Kummer theory. --- Lie algebra. --- Linear independence. --- Local field. --- Mathematical induction. --- Mathematician. --- Mathematics. --- Module (mathematics). --- Morphism. --- Natural topology. --- Neighbourhood (mathematics). --- Normal extension. --- Normal subgroup. --- Number theory. --- P-adic number. --- P-group. --- Polynomial. --- Pontryagin duality. --- Power series. --- Prime number. --- Principal ideal. --- Profinite group. --- Quadratic reciprocity. --- Quotient group. --- Ring of integers. --- Sheaf (mathematics). --- Special case. --- Subcategory. --- Subgroup. --- Supernatural number. --- Sylow theorems. --- Tangent space. --- Theorem. --- Topological group. --- Topological property. --- Topological ring. --- Topological space. --- Topology. --- Torsion group. --- Torsion subgroup. --- Transcendence degree. --- Triviality (mathematics). --- Unique factorization domain. --- Variable (mathematics). --- Vector space. --- Groupes, Théorie des --- Nombres, Théorie des
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