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Foundations of Algebraic Topology

Norman Steenrod, Samuel Eilenberg

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

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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Schlagwörter

Brouwer fixed-point theorem, Cohomology, Identity function, Ring (mathematics), Topology, Module (mathematics), Subcategory, Homology (mathematics), Topological space, Cyclic group, Sign (mathematics), Bounded set (topological vector space), Diagram (category theory), Existence theorem, Existential quantification, Exactness, Inverse system, Homeomorphism, Simplicial homology, Direct sum, Homotopy, Topological group, Simplicial complex, Projective representation, Abelian group, Finitely generated group, Point (geometry), Limit (mathematics), Excision theorem, Isomorphism theorem, Tensor product, Fundamental theorem of algebra, Chain complex, Mathematical induction, Cohomology ring, Compactification (mathematics), Homotopy group, Cartesian product, Theorem, Functor, Subgroup, Subspace topology, Uniqueness theorem, Invariance of domain, Cover (topology), Induced homomorphism, Automorphism, Algebraic topology, Dimension (vector space), Zorn's lemma, Commutative property, Division algebra, Continuous function (set theory), Universal coefficient theorem, Equivalence class, Variable (mathematics), General topology, Fixed-point theorem, Homomorphism, Integral domain, Subset, Set (mathematics), Axiom, Inclusion map, Degeneracy (mathematics), Axiom of choice, Exact sequence, Product topology, Principal ideal ring, Inverse limit