000 | 00977cam a2200277 i 4500 | ||
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999 |
_c196666 _d196666 |
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020 | _a9780387901480 | ||
040 | _cCUS | ||
082 | 0 | 0 |
_a514.7 _bHIR/D |
100 | 1 | _aHirsch, Morris W | |
245 | 1 | 0 |
_aDifferential topology / _cMorris W. Hirsch |
260 |
_aNew York : _bSpringer-Verlag, _c1976. |
||
300 |
_ax, 221 p. _c25 cm. |
||
440 | 0 |
_aGraduate texts in mathematics ; _v33 |
|
500 | _aIncludes index. | ||
504 | _aBibliography: p. 209-212. | ||
505 | _a 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. | ||
650 | 0 | _aDifferential topology. | |
856 | 4 | 2 | _uhttp://www.loc.gov/catdir/enhancements/fy0817/75026615-d.html |
942 | _cWB16 |