Foundations of Algebraic Topology (eBook)

Samuel Eilenberg, Norman Steenrod (Autoren)

eBook Download: PDF

2015
346 Seiten
Princeton University Press (Verlag)
978-1-4008-7749-2 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 8.12.2015
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: abelian group • abstract algebra • algebraic topology • analytic geometry • automorphism • Axiom • Axiom of choice • Bounded set (topological vector space) • Brouwer fixed-point theorem • Cartesian Product • Category of sets • chain complex • cohomology • Cohomology ring • commutative property • Commutator subgroup • Compactification (mathematics) • Computation • Continuous function (set theory) • Contractible space • Coset • Cover (topology) • Cyclic group • Degeneracy (mathematics) • de Rham cohomology • Diagram (category theory) • differentiable manifold • Dimension (vector space) • direct sum • division algebra • Endomorphism • equivalence class • equivalence relation • exactness • exact sequence • Excision theorem • existence theorem • existential quantification • fiber bundle • Finitely generated group • Fixed-point theorem • function space • functor • fundamental group • Fundamental Theorem of Algebra • general topology • Geometry • Hausdorff space • Homeomorphism • Homology (mathematics) • Homomorphism • Homotopy • Homotopy group • Identity function • Inclusion map • Induced homomorphism • Integer • integral domain • Invariance of domain • Invariance theorem • Inverse limit • Inverse System • Isomorphism Theorem • Limit (mathematics) • Linear map • mapping cylinder • Mathematical Induction • Mathematics • Metric Space • Module (mathematics) • Natural transformation • Point (geometry) • polynomial • Principal ideal ring • Product topology • Projective representation • Quotient Group • Ring (mathematics) • Set (mathematics) • Sign (mathematics) • Simplex • simplicial complex • simplicial homology • subcategory • SUBGROUP • subsequence • Subset • Subspace topology • tensor product • Theorem • topological group • Topological space • Topology • Transitive relation • uniqueness theorem • Universal Coefficient Theorem • Urysohn's lemma • Variable (mathematics) • Vector Space • Zorn's lemma
• ISBN-10: 1-4008-7749-0 / 1400877490
• ISBN-13: 978-1-4008-7749-2 / 9781400877492