Introduction to Topology
Solomon Lefschetz
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
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Kundenbewertungen
Dedekind cut, Real variable, Connected space, Linear combination, Cyclic group, Brouwer fixed-point theorem, Convex set, Homology (mathematics), Jordan curve theorem, Bijection, Linear extension, Diagram (category theory), Vector space, Free group, Maximal set, Parity (mathematics), Covering space, Barycentric coordinate system, Metric space, Antipodal point, Manifold, Theorem, Homogeneous coordinates, Closed set, Topological space, Duality (mathematics), Coset, Null set, Open set, Homomorphism, Sperner's lemma, Compact space, Special case, Algebraic curve, Permutation, Homotopy, Subgroup, Homotopy group, Summation, Topological property, Equivalence relation, Linear map, Fundamental group, Diameter, N-sphere, Projective plane, Projection (mathematics), Homeomorphism, Simplicial complex, Existential quantification, Subset, Betti number, Orientability, Big O notation, Integer, Topology, Projection (linear algebra), Cohomology, Polyhedron, Algebraic topology, Coefficient, Dense set, Simplex, Connectedness, Interior (topology), Additive group, Euclidean space, Polynomial, Circumference, Simply connected space