Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The authors introduce the concept of finitely coloured equivalence for unital ^*-homomorphisms between mathrm C^*-algebras, for which unitary equivalence is the 1-coloured case. They use this notion to classify ^*-homomorphisms from separable, unital, nuclear mathrm C^*-algebras into ultrapowers of simple, unital, nuclear, mathcal Z-stable mathrm C^*-algebras with compact extremal trace space up to 2-coloured equivalence by their behaviour on traces; this is based on a 1-coloured classification theorem for certain order zero maps, also in terms of tracial data. As an application the authors calculate the nuclear dimension of non-AF, simple, separable, unital, nuclear, mathcal Z-stable mathrm C^*-algebras with compact extremal trace space: it is 1. In the case that the extremal trace space also has finite topological covering dimension, this confirms the remaining open implication of the Toms-Winter conjecture. Inspired by homotopy-rigidity theorems in geometry and topology, the authors derive a "homotopy equivalence implies isomorphism" result for large classes of mathrm C^*-algebras with finite nuclear dimension.

C*-algebras. --- Homomorphisms (Mathematics) --- Extremal problems (Mathematics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical optimization. --- Nondifferentiable functions. --- Polynomials. --- Extremal problems (Mathematics). --- Nonlinear programming.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Extremal problems (Mathematics) --- Maxima and minima --- Calculus of variations --- Calculus of variations. --- Maxima and minima. --- Extremal problems (Mathematics).

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin's maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of the present book is to collect various mathematica

Calculus of variations. --- Extremal problems (Mathematics) --- Mathematical physics. --- Physical mathematics --- Physics --- Graph theory --- Problems, Extremal (Mathematics) --- Calculus of variations --- Geometric function theory --- Maxima and minima --- Isoperimetrical problems --- Variations, Calculus of --- Mathematics --- Extremal problems --- Extremal problems (Mathematics).

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Extremal problems (Mathematics) --- Limietenvraagstukken (Wiskunde) --- Operationeel onderzoek --- Operations research --- Problèmes aux limites (Mathématiques) --- Recherche opérationnelle