Introduction to Topology (eBook)

Solomon Lefschetz (Autor)

eBook Download: PDF

2015
228 Seiten
Princeton University Press (Verlag)
978-1-4008-7994-6 (ISBN)

Infos

In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems.Originally published in 1949.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
• Schlagworte: Additive group • Algebraic Curve • algebraic topology • Antipodal point • Barycentric coordinate system • Betti number • Big O notation • bijection • Brouwer fixed-point theorem • Category of sets • circumference • Closed set • coefficient • cohomology • Compact space • complex plane • Complex projective plane • connectedness • Connected space • convex set • Coset • Covering space • Cyclic group • Dedekind cut • Dense set • Determinant • Diagram (category theory) • DIAMETER • Differentiable function • differentiable manifold • Dimension theory (algebra) • Disjoint sets • Duality (mathematics) • equivalence relation • Euclidean space • existential quantification • Exterior (topology) • fiber bundle • free group • fundamental group • General set theory • Hausdorff space • Homeomorphism • Homogeneous Coordinates • Homology (mathematics) • Homomorphism • Homotopy • Homotopy group • Hypercube • Incidence matrix • Induced homomorphism • Integer • Interior (topology) • Intersection (set theory) • Jordan Curve Theorem • Klein Bottle • Kronecker delta • Linear combination • linear equation • Linear extension • Linear map • manifold • Mathematical Induction • Maximal set • Metric Space • N-sphere • Null set • Open set • Orientability • Parity (mathematics) • Permutation • polyhedron • polynomial • Prime number • Projection (linear algebra) • Projection (mathematics) • projective plane • projective space • real number • Real projective plane • Real variable • Simple set • Simplex • simplicial complex • Simply connected space • Special case • Sperner's Lemma • Sphere • SUBGROUP • Subset • Summation • Theorem • topological group • Topological Property • Topological space • Topology • Transformation (function) • Union (set theory) • Vector field • Vector Space
• ISBN-10: 1-4008-7994-9 / 1400879949
• ISBN-13: 978-1-4008-7994-6 / 9781400879946