Libro nash manifolds De shiota

Formato

Libro Físico

Editorial

springer publishing map

Autor

shiota

Idioma

Inglés

ISBN

3540181024

ISBN13

9783540181026

Categorías

Geometría diferencial y riemanniana

nash manifolds

Shiota (Autor) · springer publishing map · Libro Físico

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Reseña del libro "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 this book, in which almost all results are very recent or unpublished, is an account of the theory of nash manifolds, whose properties are clearer and more regular than those of differentiable or pl manifolds.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.