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| Milnor J.W. — Topology from the Differentiable Viewpoint |
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| Предметный указатель |
Antipodal map 30 52
Boundary 12
Brouwer, L.E.J. 35 52
Brouwer, L.E.J., degree 20 28
Brouwer, L.E.J., fixed point theorem 14
Brown, A.B. 10 11
Chain rule for derivatives 3 7
Cobordism 42 43 51
Codimension 42
Cohomotopy 50
Coordinate system 1
Corresponding vector fields 32
Critical point 8 11
Critical value 8 11
Degree of a map 28
Degree of a map, mod two 20
Derivative of a map 2—7
Diffeomorphism 1
Differential topology 1 59
Dimension of a manifold 1 5 7
Disk 13 14
Euler number 35 36 40
Framed cobordism 43
Framed submanifold 42 44 46
Fubini theorem 17
Fundamental theorem of algebra 8
Gauss mapping 35 38
Gauss-Bonnet theorem 38
Half-space 12
Hirsch, M. 14
Homotopy 20 21 52
Hopf, H. 31 35 36 40 51 54
Index (of a zero of a vector field) 32—34
Index sum 35—41
Inverse function theorem 4 8
| Inward vector 26
Isotopy 21 22 34
Linking 53
Morse, A.P. 10
Morse, M. 40
Nondegencrate zero (of a vector field) 37 40
Normal bundle 53
Normal vectors 11 12 42
Orientation 26
Orientation of  2s
Orientation of a boundary 27
Outward vector 26
Parametrization 1 2
Parametrization by arc-length 55
Poincare, H. 35
Pontryagin manifold 43
Pontryagin, L. 16 42
Product neighborhood theorem 46
Regular point 7
Regular value 8 11 13 14 20 27 40 43
Sard, A. 10 16
Smooth manifolds 1
Smooth manifolds of dimension one 14 55
Smooth manifolds of dimension zero 2
Smooth manifolds the classification problem 57
Smooth manifolds with boundary 12
Smooth manifolds, oriented 26
Smooth maps (= smooth mappings) 1
Sphere 2
Stereographic projection 9 48
Tangent bundle 53
Tangent space 2—5
Tangent space at a boundary point 12 26
Tangent vector 2
Vector fields 30 32—41
Weierstrass approximation theorem 13
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