-functions 9
( )-isomorphism 97
- submanifold 102
-category 37
—function 27
Analytic approximation 86
Approximation by smooth functions 70
Approximation property (A.P.) 80
Atlases 100
Bernstein 76
Bochner spaces 25
Bounded approximation property (B.A.P.) 80
Categories 37
Charts 100
Differentiable manifold 100
Differential 9
Embedding 104
Finite representation 4
Fr chet derivative 4
Fr chet differentiable 10
Homogeneous polynomial 34
Immersion 104
| Invariance of boundaries 99
Lipschitz derivatives 56
Markov’s inequality 11
Morse — Palais Theorem 110
Nachbin polynomial algebra 83
Partitions 39
Smooth 3
Smooth pair 38
Smooth pair, -smooth 56
Smooth pair, -smooth 12
Smooth pair, -smooth 12
Smooth pair, -smooth 39
Smooth pair, -smooth 53
Smooth pair, Boundedly -smooth ( -smooth) 16
Smooth pair, Uniformly -smooth ( -smooth) 16
Strictly singular 64
Superreflexive 7
Superreflexive, -superreflexive 35
Superreflexive, -superreflexive 36
Transversal 95
Ultraproduct 5
Uniformly convex 3
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