Topology 23

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics. ……続きを見る

El estudio del espacio y las formas que lo habitan se remonta al inicio de las matemáticas conocidas, desde las crecidas del Nilo y el intento de medir las tierras que quedarían cubiertas por sus ag……続きを見る

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups. It demonstrates a broad range of techniques fro……続きを見る

Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis……続きを見る

This book provides a foundation for arithmetic topology, a new branch of mathematics that investigates the analogies between the topology of knots, 3-manifolds, and the arithmetic of number fields. ……続きを見る

Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings t……続きを見る

This definitive synthesis of mathematician Gregory Margulis's research brings together leading experts to cover the breadth and diversity of disciplines Margulis's work touches upon. This edited col……続きを見る

La topologia è quell’area della matematica che studia le proprietà degli oggetti geometrici che sono preservate in caso di deformazioni continue, ovverosia intuitivamente deformazioni ottenute senza……続きを見る

This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, a……続きを見る

This is the fifth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and it……続きを見る

A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization ……続きを見る

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing ori……続きを見る

This book presents original research applying mathematics to musical rhythm, with a focus on computational methods, theoretical approaches, analysis of rhythm in folk and global music traditions, sy……続きを見る

This book provides a remarkable collection of contributions written by some of the most accredited world experts in the modern area of Knotted Fields. Scope of the book is to provide an updated view……続きを見る

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and it……続きを見る

Dieses Buch greift auf Elemente aus dem Alltag, der Architektur und der Kunst zurück, um dem Leser elementare Begriffe der geometrischen Topologie zu vermitteln. Pac Man, U-Bahn-Pläne und architekto……続きを見る

Modern mathematics has become an essential part of today’s physicist’s arsenal and this book covers several relevant such topics. The primary aim of this book is to present key mathematical concepts……続きを見る

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric pict……続きを見る

This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry. Research in this volume arises from or is connected with t……続きを見る

This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and music classification. Contributions a……続きを見る

This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfi……続きを見る

The body of work presented in this book comes from research carried out since 2017 as part of the international "Actualité de René Thom" project. This project was initially entitled "Morphology and ……続きを見る

This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional systems. The authors discuss applications in vari……続きを見る

Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequalities, monotone operators, feasibility problems, ……続きを見る

The Four Corners of Mathematics: A Brief History, from Pythagoras to Perelman describes the historical development of the ‘big ideas’ in mathematics in an accessible and intuitive manner. In deliver……続きを見る

An authoritative introduction to the essential features of étale cohomology A. Grothendieck’s work on algebraic geometry is one of the most important mathematical achievements of the twentieth centu……続きを見る

Dieses prägnante und praxisorientierte Lehrbuch präsentiert die Grundlagen der Mathematik auf glatten Mannigfaltigkeiten. Glatte Mannigfaltigkeiten sind ein Schlüsselkonzept in der Mathematik und we……続きを見る

This thesis develops a new approach to Fermi liquids based on the mathematical formalism of coadjoint orbits, allowing Landau’s Fermi liquid theory to be recast in a simple and elegant way as a fiel……続きを見る

This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a complete proof of the Twisted Morse Homology Theorem, wh……続きを見る

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology. It offers in-depth insights, theoretical developments, and practical appli……続きを見る