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Nonlinear Optimization in IRN

I. Morse Theory, Chebyshev Approximation


Hubertus Th. Jongen, Peter Jonker and Frank Twilt

Contents: This volume contains an introduction to manifolds with specially structured boundary, critical point theory and the connectedness structure of lower level sets of functions. Morse theory is treated within the framework of optimization theory, including a brief introduction to homology theory. Furthermore, some aspects of nonlinear Chebyshev approximation are presented, such as the reduction to functions of maximum type, optimality criteria and focal point theory.