Leseprobe
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The Topology of Fibre Bundles. (PMS-14), Volume 14
Norman Steenrod
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically.
It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.
Kundenbewertungen
Coefficient, Transpose, Principal bundle, Topological space, Special case, Equivalence relation, Fiber bundle, Universal bundle, Lattice of subgroups, Stiefel manifold, Line element, Homotopy group, Topological group, Determinant, Quaternion, Simplicial complex, Subset, Differential structure, Subalgebra, Bundle map, Hopf theorem, Mapping cylinder, Linear map, Permutation, Division algebra, Cohomology, Jacobian matrix and determinant, Homotopy, Algebraic topology, Tangent bundle, Inner automorphism, Associative algebra, Connected space, Line segment, Hurewicz theorem, Topology, Natural topology, Coordinate system, Differentiable manifold, Invariant subspace, Coset, Cyclic group, Subgroup, Vector field, Automorphism, Associated bundle, Equivalence class, Homeomorphism, Metric tensor, Homomorphism, Atlas (topology), Cohomology ring, N-sphere, Dimension (vector space), Euler number, Lie group, Tensor, Homology (mathematics), Klein bottle, Identity element, Linear space (geometry), Theorem, Classification theorem, Product topology, Barycentric subdivision, Conjugacy class, Transitive relation, Inclusion map, Orthogonalization, Tietze extension theorem