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New Topological Invariants for Real and Angle Valued Maps

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which;

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Convex and Set-Valued Analysis

-valued maps, topological degree theory and differential inclusions. Contents: Preface Part I: Convex analysis Convex sets and their;

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A Non-Hausdorff Completion

) algebra. The C-completion C(M), and higher C-completions, Cn(M), are defined for an arbitrary left module M over a topological ring A. Spectral;

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Random Matrix Theory With an External Source

of characteristic polynomials is essential for obtaining such topological invariants. The analysis is extended to nonorientable surfaces and to surfaces;

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Real And Complex Singularities

This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at;

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Algebraic Elements of Graphs

This book studies algebraic representations of graphs in order to investigate combinatorial structures via local symmetries. Topological;

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Polynomial One-cocycles for Knots and Closed Braids

Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are;

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Topological Insulators

to topological invariants and their applications to a variety of systems from one-dimensional polyacetylene, to two-dimensional quantum spin;

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Topological Insulators

to topological invariants and their applications to a variety of systems from one-dimensional polyacetylene, to two-dimensional quantum spin;

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Basic Topology

In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their;

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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure;

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The Topology of Chaos

A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic;

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Pseudocompact Topological Spaces

This book, intended for postgraduate students and researchers, presents many results of historical importance on pseudocompact spaces;

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Topological Methods For Set-valued Nonlinear Analysis

This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological;

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Relative Index Theory, Determinants And Torsion For Open Manifolds

For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and;

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Topological Insulators

transport. The main part of the book discusses realistic models for both time-reversal-preserving and -violating topological insulators, as well as;

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Monoidal Topology

with a quantale V (replacing the reals) and a monad T (replacing the ultrafilter monad) laxly extended from set maps to V-valued relations, the;

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Flow Lines and Algebraic Invariants in Contact Form Geometry

in open problems and full, detailed proofs, this work lays the foundation for new avenues of study in contact form geometry and will benefit;

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Chern-Simons Theory, Matrix Models, And Topological Strings

of this correspondence relates Chern-Simons theory, a topological gauge theory in three dimensions which describes knot and three-manifold;

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Topological and Bivariant K-Theory

Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and;

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Periodic points for expanding maps and their extensions

The aim of this thesis is to give a complete exposition of the main topological and ergodic properties of the expanding maps and provide;

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Topological Methods for Differential Equations and Inclusions

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory;

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Integrable Hamiltonian Systems

, singularites, and topological invariants. The authors, both of whom have contributed significantly to the field, develop the classification theory;

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Integrable Hamiltonian Systems

, singularites, and topological invariants. The authors, both of whom have contributed significantly to the field, develop the classification theory;

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Moments and Moment Invariants in Pattern Recognition

presents a survey of both recent and traditional image analysis and pattern recognition methods, based on image moments, and offers new concepts;

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Thermodynamics of Chaotic Systems

entropy principle; general thermodynamic relations; spin systems; fractals and multifractals; expansion rate and information loss; the topological;

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Selected Topics of Invariant Measures in Polish Groups

of an infinite-dimensional function space into the standard topological vector space of all real-valued sequences, (endowed with the Tychonoff;

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