Topology

A Fete of Topology: Papers Dedicated to Itiro Tamura focuses on the progress in the processes, methodologies, and approaches involved in topology, including foliations, cohomology, and surface bundles.

This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time.

Surveys in General Topology presents topics relating to general topology ranging from closed mappings and ultrafilters to covering and separation properties of box products.

The 20th Century brought the rise of General Topology.

Collection of papers summarising the state of the art.

This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem.

Topologyhasbeenreferredtoas"e;rubber-sheetgeometry"e;.

The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology.

The Seminar has taken place at Rutgers University in New Brunswick, New Jersey, since 1990 and it has become a tradition, starting in 1992, that the Seminar be held during July at IHES in Bures-sur-Yvette, France.

The theory of I -trees has its origin in the work of Lyndon on length functions in groups.

This book presents few novel Discrete-time Sliding Mode (DSM) protocols for leader-following consensus of Discrete Multi-Agent Systems (DMASs).

This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

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

This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants.

This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples.

"e;The art of structure is where to put the holes"e; Robert Le Ricolais, 1894-1977 This is a completely revised, updated and expanded version of the book titled "e;Optimization of Structural Topology, Shape and Material"e; (Bends0e 1995).

Inverse limits provide a powerful tool for constructing complicated spaces from simple ones.

In this book we display the fundamental structure underlying classical electro- dynamics, i.

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "e;Higher homotopical structures"e; programme.

Some Applications of Topological K-Theory

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces.

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

This book is a text, not a reference, on Point-set Topology.

This text exposes the basic features of cohomology of sheaves and its applications.

This thesis deals with specific featuresof the theory of holomorphic dynamics in dimension 2 and then sets out to studyanalogous questions in higher dimensions, e.

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics.

Foreword by S S Chern In 1926-27, Cartan gave a series of lectures in which he introduced exterior forms at the very beginning and used extensively orthogonal frames throughout to investigate the geometry of Riemannian manifolds.

This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014.

This book gives a systematic presentation of real algebraic varieties.

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

This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view.

Ten years have passed since the publication of the first English edition.

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The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990.

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion through a wide range of topics.

This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves.

"e;Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.

Moving frames explained in the language of undergraduate calculus, suitable for graduate students.

Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec- tures.

This work is a continuation of the first volume published by Springer in 2011, entitled "e;A Cp-Theory Problem Book: Topological and Function Spaces.

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

Topology is a major area of mathematics concerned with properties that are preserved undercontinuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing, although the notion of stretching employed in mathematics is not quite the everyday notion: see below and the definition of homeomorphism for details of the mathematical notion.

Homotopy of 4-manifolds for researchers and graduate students.

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.

This book is the outcome of a seminar organized by Michael Freedman and Karen Uhlenbeck (the senior author) at the Mathematical Sciences Research Institute in Berkeley during its first few months of existence.