Topology

The theory of Quantum Groups is a rapidly developing areawith numerous applications in mathematics and theoreticalphysics, e.

The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds.

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics.

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field.

Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology.

This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend.

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi–Grothendieck theory of dessins d''enfants.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

Topological surgery is a mathematical technique used for creating new manifolds out of known ones.

There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J.

This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought.

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.

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.

The essentials of point-set topology, complete with motivation and numerous examples Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn.

This volume offers a unique collection of outstanding contributions from renowned women mathematicians who met in Cambridge for a conference under the auspices of European Women in Mathematics (EWM).

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties.

This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lopez-Pellicer's mathematical research.

There are many reasons for writing this first volume of strategic activities on fractals.

This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection.

The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.

This self-contained text is an introduction to contact topology.

This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

This book is the result of research initiatives formed during the workshop "e;Low Dimensional Topology and Number Theory XIII"e; at Kyushu University in 2022.

Smooth Topological Design of Continuum Structures focuses on the use of a newly-proposed topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT).

Represents the state of the art in the new field of synthetic differential topology.

In this book we study function spaces of low Borel complexity.

The work of Professor Eduard Cech had a si~ificant influence on the development of algebraic and general topology and differential geometry.

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This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

This text brings the reader to the frontiers of current research in topological rings.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming.

Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold.

The body of work presented in this book comes from research carried out since 2017 as part of the international "e;Actualite de Rene Thom"e; project.

From the Preface by D.

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields.

In keeping with the general aim of the "e;D.

In the Fall of 1975 we started a joint project with the ultimate goal of topo- logically classifying real algebraic sets.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.