Name: nash manifolds
SKU: 3423283
Price: 961.00 ZAR
Availability: InStock
Author: shiota
ISBN: 9783540181026

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Type

Physical Book

Publisher

Springer

Author

shiota

Language

English

ISBN

3540181024

ISBN13

9783540181026

Synopsis "nash manifolds"

a nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of nash that a compact differentiable manifold can be imbedded in a euclidean space so that the image is precisely such a manifold. this book, in which almost all results are very recent or unpublished, is an account of the theory of nash manifolds, whose properties are clearer and more regular than those of differentiable or pl manifolds. basic to the theory is an algebraic analogue of whitneys approximation theorem. this theorem induces a finiteness of nash manifold structures and differences between nash and differentiable manifolds. the point of view of the author is topological. however the proofs also require results and techniques from other domains so elementary knowledge of commutative algebra, several complex variables, differential topology, pl topology and real singularities is required of the reader. the book is addressed to graduate students and researchers in differential topology and real algebraic geometry.