The Topology of Fibre Bundles. (PMS-14), Volume 14 / / Norman Steenrod.
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 gene...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1951 |
| Year of Publication: | 2016 |
| Language: | English |
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Steenrod, Norman, author. aut http://id.loc.gov/vocabulary/relators/aut The Topology of Fibre Bundles. (PMS-14), Volume 14 / Norman Steenrod. Princeton, NJ : Princeton University Press, [2016] ©1951 1 online resource (224 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Mathematical Series ; 27 Frontmatter -- Preface -- Contents -- Part I. The General Theory of Bundles -- Part II. The Homotopy Theory of Bundles -- Part III. The Cohomology Theory of Bundles -- Appendix -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Topology. MATHEMATICS / Topology. bisacsh Algebraic topology. Associated bundle. Associative algebra. Associative property. Atlas (topology). Automorphism. Axiomatic system. Barycentric subdivision. Bilinear map. Bundle map. Classification theorem. Coefficient. Cohomology ring. Cohomology. Conjugacy class. Connected component (graph theory). Connected space. Coordinate system. Coset. Cup product. Cyclic group. Determinant. Differentiable manifold. Differential structure. Dimension (vector space). Direct product. Division algebra. Equivalence class. Equivalence relation. Euler number. Existence theorem. Existential quantification. Factorization. Fiber bundle. Frenet-Serret formulas. Gram-Schmidt process. Group theory. Homeomorphism. Homology (mathematics). Homomorphism. Homotopy group. Homotopy. Hopf theorem. Hurewicz theorem. Identity element. Inclusion map. Inner automorphism. Invariant subspace. Invertible matrix. Jacobian matrix and determinant. Klein bottle. Lattice of subgroups. Lie group. Line element. Line segment. Linear map. Linear space (geometry). Linear subspace. Manifold. Mapping cylinder. Metric tensor. N-sphere. Natural topology. Octonion. Open set. Orientability. Orthogonal group. Orthogonalization. Permutation. Principal bundle. Product topology. Quadratic form. Quaternion. Retract. Separable space. Set theory. Simplicial complex. Special case. Stiefel manifold. Subalgebra. Subbase. Subgroup. Subset. Symmetric tensor. Tangent bundle. Tangent space. Tangent vector. Tensor field. Tensor. Theorem. Tietze extension theorem. Topological group. Topological space. Transitive relation. Transpose. Union (set theory). Unit sphere. Universal bundle. Vector field. Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691005485 https://doi.org/10.1515/9781400883875 https://www.degruyter.com/isbn/9781400883875 Cover https://www.degruyter.com/document/cover/isbn/9781400883875/original |
| language |
English |
| format |
eBook |
| author |
Steenrod, Norman, Steenrod, Norman, |
| spellingShingle |
Steenrod, Norman, Steenrod, Norman, The Topology of Fibre Bundles. (PMS-14), Volume 14 / Princeton Mathematical Series ; Frontmatter -- Preface -- Contents -- Part I. The General Theory of Bundles -- Part II. The Homotopy Theory of Bundles -- Part III. The Cohomology Theory of Bundles -- Appendix -- Bibliography -- Index |
| author_facet |
Steenrod, Norman, Steenrod, Norman, |
| author_variant |
n s ns n s ns |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Steenrod, Norman, |
| title |
The Topology of Fibre Bundles. (PMS-14), Volume 14 / |
| title_full |
The Topology of Fibre Bundles. (PMS-14), Volume 14 / Norman Steenrod. |
| title_fullStr |
The Topology of Fibre Bundles. (PMS-14), Volume 14 / Norman Steenrod. |
| title_full_unstemmed |
The Topology of Fibre Bundles. (PMS-14), Volume 14 / Norman Steenrod. |
| title_auth |
The Topology of Fibre Bundles. (PMS-14), Volume 14 / |
| title_alt |
Frontmatter -- Preface -- Contents -- Part I. The General Theory of Bundles -- Part II. The Homotopy Theory of Bundles -- Part III. The Cohomology Theory of Bundles -- Appendix -- Bibliography -- Index |
| title_new |
The Topology of Fibre Bundles. (PMS-14), Volume 14 / |
| title_sort |
the topology of fibre bundles. (pms-14), volume 14 / |
| series |
Princeton Mathematical Series ; |
| series2 |
Princeton Mathematical Series ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (224 p.) Issued also in print. |
| contents |
Frontmatter -- Preface -- Contents -- Part I. The General Theory of Bundles -- Part II. The Homotopy Theory of Bundles -- Part III. The Cohomology Theory of Bundles -- Appendix -- Bibliography -- Index |
| isbn |
9781400883875 9783110501063 9783110442496 9780691005485 |
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Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA611 |
| callnumber-sort |
QA 3611 |
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https://doi.org/10.1515/9781400883875 https://www.degruyter.com/isbn/9781400883875 https://www.degruyter.com/document/cover/isbn/9781400883875/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
513 - Arithmetic |
| dewey-full |
513.83 |
| dewey-sort |
3513.83 |
| dewey-raw |
513.83 |
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513.83 |
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10.1515/9781400883875 |
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962359234 |
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AT steenrodnorman thetopologyoffibrebundlespms14volume14 AT steenrodnorman topologyoffibrebundlespms14volume14 |
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Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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The Topology of Fibre Bundles. (PMS-14), Volume 14 / |
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Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package |
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