Differential topology / Morris W. Hirsch
Material type: TextSeries: Graduate texts in mathematics ; 33Publication details: New York : Springer-Verlag, 1976Description: x, 221 p. 25 cmISBN: 9780387901480Subject(s): Differential topologyDDC classification: 514.7 Online resources: Click here to access onlineItem type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books | Central Library, Sikkim University | 514.7 HIR/D (Browse shelf(Opens below)) | Available | 47400 |
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514.34 LEE/I Introduction to smooth manifolds / | 514.55 MIL/I Introduction to algebraic K-theory/ | 514.7 HIR/ Differential topology/ | 514.7 HIR/D Differential topology / | 514.74 LYN/D Dynamical systems with applications using matlab/ | 514.74 STE/D Deformations of singularities/ | 514.742 AFR/F Fractal Dimensions for Poincare Recurrences,/ |
Includes index.
Bibliography: p. 209-212.
1 : Manifolds and Maps.- 0. Submanifolds of ?n+k.- 1. Differential Structures.- 2. Differentiable Maps and the Tangent Bundle.- 3. Embeddings and Immersions.- 4. Manifolds with Boundary.- 5. A Convention.- 2 : Function Spaces.- 1. The Weak and Strong Topologies on Cr(M, N).- 2. Approximations.- 3. Approximations on ?-Manifolds and Manifold Pairs.- 4. Jets and the Baire Property.- 5. Analytic Approximations.- 3 : Transversality.- 1. The Morse-Sard Theorem.- 2. Transversality.- 4 : Vector Bundles and Tubular Neighborhoods.- 1. Vector Bundles.- 2. Constructions with Vector Bundles.- 3. The Classification of Vector Bundles.- 4. Oriented Vector Bundles.- 5. Tubular Neighborhoods.- 6. Collars and Tubular Neighborhoods of Neat Submanifolds.- 7. Analytic Differential Structures.- 5 : Degrees, Intersection Numbers, and the Euler Characteristic.- 1. Degrees of Maps.- 2. Intersection Numbers and the Euler Characteristic.- 3. Historical Remarks.- 6 : Morse Theory.- 1. Morse Functions.- 2. Differential Equations and Regular Level Surfaces.- 3. Passing Critical Levels and Attaching Cells.- 4. CW-Complexes.- 7 : Cobordism.- 1. Cobordism and Transversality.- 2. The Thorn Homomorphism.- 8 : Isotopy.- 1. Extending Isotopies.- 2. Gluing Manifolds Together.- 3. Isotopies of Disks.- 9 : Surfaces.- 1. Models of Surfaces.- 2. Characterization of the Disk.- 3. The Classification of Compact Surfaces.
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