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Aimed at researchers in mathematics, philosophy and logic, this book provides the first organic exposition of dynamic constructivism and the mathematics ensuing in practice, including discussion of the technical development of the field and outlining the philosophical...
Editeur :
OUP Oxford
Parution :
2025-10-26
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The aim of the book is to give an introduction to the main concepts in modern dynamics.The Herman Theorem on rigidity of circle di?eomoprhisms is used to achieve this goal. Indeed, we reprove this sophisticated theorem with modern techniques involving renormalization...
Editeur :
Springer
Parution :
2025-08-31
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The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function.The basic question in this context is the following: How much of the topology of the underlying manifold is visible...
Editeur :
Birkhäuser
Parution :
2025-05-29
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The main themes of this book are non-Kähler complex surfaces and strongly pseudoconcave complex surfaces. Though there are several notable examples of compact non-Kähler surfaces, including Hopf surfaces, Kodaira surfaces, and Inoue surfaces, these subjects...
Editeur :
Springer
Parution :
2025-03-14
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This book is the result of research initiatives formed during the workshop "Low Dimensional Topology and Number Theory XIII" at Kyushu University in 2022. It is also dedicated to the memory of Professor Toshie Takata, who has been a main figure of the session chairs for...
Editeur :
Springer
Parution :
2025-03-02
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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, and optimization theory, to name just several. This book discusses...
Editeur :
Springer
Parution :
2024-09-25
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The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as Coxeter groups or...
Editeur :
Springer
Parution :
2024-08-30
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This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds.Surgery theory was developed to carry out the so-called Surgery Program, a basic strategy to decide whether two closed manifolds are homeomorphic or...
Editeur :
Springer
Parution :
2024-07-05
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This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it...
Editeur :
Springer
Parution :
2023-05-24
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This book explains why the finite topological space known as abstract cell complex is important for successful image processing and presents image processing methods based on abstract cell complex, especially for tracing and encoding of boundaries of homogeneous...
Editeur :
Springer
Parution :
2022-03-26
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This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of...
Editeur :
Springer
Parution :
2022-01-25
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This is the second volume of the Handbook of the 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 its interactions with other areas of research.This volume consists of...
Editeur :
Springer
Parution :
2021-11-01
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This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split...
Editeur :
Springer
Parution :
2021-05-04
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This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds,...
Editeur :
Springer
Parution :
2020-12-07
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This volume originated in the workshop held at Nagoya University, August 28–30, 2015, focusing on the surprising and mysterious Ohkawa's theorem: the Bousfield classes in the stable homotopy category SH form a set. An inspiring, extensive mathematical story can be...
Editeur :
Springer
Parution :
2020-03-18
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How is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as...
Editeur :
OUP Oxford
Parution :
2019-12-12
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How is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as...
Editeur :
OUP Oxford
Parution :
2019-12-12
ePub
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This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titled “Algebraic...
Editeur :
Birkhäuser
Parution :
2019-10-18
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This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to...
Editeur :
Springer
Parution :
2019-10-08
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This monograph could be used for a graduate course on symplectic geometry as well as for independent study.The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem....
Editeur :
Springer
Parution :
2019-09-23
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