Offers an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. This book is suitable for graduate students and researchers in differential topology and real algebraic geometry.
Offers an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. This bo...
Subanalytic and semialgebraic sets were introduced for topological and systematic investigations of real analytic and algebraic sets. This text aims to show that almost all known and unknown properties of subanalytic and semialgebraic sets follow abstractly from some fundamental axioms, and it aims to develop methods of proof that use finite processes instead of integration of vector fields. Although the proofs are elementary, the results are new and of interest to, for example, singularity theorists and topologists, and the new methods and tools developed provide a basis for further research...
Subanalytic and semialgebraic sets were introduced for topological and systematic investigations of real analytic and algebraic sets. This text aims t...
Real analytic sets in Euclidean space (Le., sets defined locally at each point of Euclidean space by the vanishing of an analytic function) were first investigated in the 1950's by H. Cartan Car], H. Whitney WI-3], F. Bruhat W-B] and others. Their approach was to derive information about real analytic sets from properties of their complexifications. After some basic geometrical and topological facts were established, however, the study of real analytic sets stagnated. This contrasted the rapid develop- ment of complex analytic geometry which followed the groundbreaking work of the early...
Real analytic sets in Euclidean space (Le., sets defined locally at each point of Euclidean space by the vanishing of an analytic function) were first...
