Analytic topology

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

A comprehensive account giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.

This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps.

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

The subject matter of compact groups is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics.

Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results.

A comprehensive account giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.

This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem.

Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows.

Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work.

This volume contains surveys and research articles regarding different aspects of the theory of foliation.

A quick introduction to foliations and Lie groupoids with numerous examples and exercises to aid the reader.

A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems.

One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry.

This is both a textbook and a monograph.

A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems.

This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds.

In this work the author extends results of rational homotopy theory to a subring of the rationale.

The aim of the book is to give a broad introduction of topology to undergraduate students.

University-level introduction that leads to topics of current research in the theory of harmonic maps.

This volume will give a systematic exposition of known results for free actions by finite groups on S.

Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.

The aim of the book is to give a broad introduction of topology to undergraduate students.

Banach spaces and algebras are a key topic of pure mathematics.

Detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions.

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry.

Systematic exposition of current knowledge about the Mandelbrot set, discussing the latest research and results.

These original research papers, written during a period of over a quarter of a century, have two main objectives.

There are many proposed aims for scientific inquiry--to explain or predict events, to confirm or falsify hypotheses, or to find hypotheses that cohere with our other beliefs in some logical or probabilistic sense.

Topological quantum numbers are distinguished from quantum numbers based on symmetry because they are insensitive to the imperfections of the systems in which they are observed.

This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects.

This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s.

This book constitutes a review volume on the relatively new subject of Quantum Topology.

Provides an introduction to critical point theory and shows how it solves many difficult problems.

Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way.

This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds.

Provides an introduction to critical point theory and shows how it solves many difficult problems.

How is a subway map different from other maps?

How is a subway map different from other maps?

This book covers recent topics in various aspects of foliation theory and its relation with other areas including dynamical systems, C*-algebras, index theory and low-dimensional topology.

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

An der Universität hörte ich erstmals davon, dass abstrakte mathematische Konzepte unsere Naturgesetze beschreiben, wie etwa das Standardmodell der Teilchenphysik.