TY - BOOK ID - 17621824 TI - The topology of fibre bundles PY - 1951 VL - 14 SN - 0691080550 0691005486 1400883873 9780691080550 PB - Princeton (N.J.): Princeton university press DB - UniCat KW - #WWIS:d.d. Prof. L. Bouckaert/ALTO KW - 515.1 KW - 515.1 Topology KW - Topology KW - Topology. KW - Analysis situs KW - Position analysis KW - Rubber-sheet geometry KW - Geometry KW - Polyhedra KW - Set theory KW - Algebras, Linear KW - Algebraic topology. KW - Associated bundle. KW - Associative algebra. KW - Associative property. KW - Atlas (topology). KW - Automorphism. KW - Axiomatic system. KW - Barycentric subdivision. KW - Bilinear map. KW - Bundle map. KW - Classification theorem. KW - Coefficient. KW - Cohomology ring. KW - Cohomology. KW - Conjugacy class. KW - Connected component (graph theory). KW - Connected space. KW - Coordinate system. KW - Coset. KW - Cup product. KW - Cyclic group. KW - Determinant. KW - Differentiable manifold. KW - Differential structure. KW - Dimension (vector space). KW - Direct product. KW - Division algebra. KW - Equivalence class. KW - Equivalence relation. KW - Euler number. KW - Existence theorem. KW - Existential quantification. KW - Factorization. KW - Fiber bundle. KW - Frenet–Serret formulas. KW - Gram–Schmidt process. KW - Group theory. KW - Homeomorphism. KW - Homology (mathematics). KW - Homomorphism. KW - Homotopy group. KW - Homotopy. KW - Hopf theorem. KW - Hurewicz theorem. KW - Identity element. KW - Inclusion map. KW - Inner automorphism. KW - Invariant subspace. KW - Invertible matrix. KW - Jacobian matrix and determinant. KW - Klein bottle. KW - Lattice of subgroups. KW - Lie group. KW - Line element. KW - Line segment. KW - Linear map. KW - Linear space (geometry). KW - Linear subspace. KW - Manifold. KW - Mapping cylinder. KW - Metric tensor. KW - N-sphere. KW - Natural topology. KW - Octonion. KW - Open set. KW - Orientability. KW - Orthogonal group. KW - Orthogonalization. KW - Permutation. KW - Principal bundle. KW - Product topology. KW - Quadratic form. KW - Quaternion. KW - Retract. KW - Separable space. KW - Set theory. KW - Simplicial complex. KW - Special case. KW - Stiefel manifold. KW - Subalgebra. KW - Subbase. KW - Subgroup. KW - Subset. KW - Symmetric tensor. KW - Tangent bundle. KW - Tangent space. KW - Tangent vector. KW - Tensor field. KW - Tensor. KW - Theorem. KW - Tietze extension theorem. KW - Topological group. KW - Topological space. KW - Transitive relation. KW - Transpose. KW - Union (set theory). KW - Unit sphere. KW - Universal bundle. KW - Vector field. UR - https://www.unicat.be/uniCat?func=search&query=sysid:17621824 AB - 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. ER -