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Nash Manifolds (Paperback, 1987 ed.)
Loot Price: R1,503
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Nash Manifolds (Paperback, 1987 ed.)
Series: Lecture Notes in Mathematics, 1269
Expected to ship within 10 - 15 working days
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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almost all results are very recent or unpublished, is an account of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 Whitney's 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.
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