Algebraic topology

Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions.

This book constitutes the proceedings of the 6th International Workshop on Computational Topology in Image Context, CTIC 2016, held in Marseille, France, in June 2016.

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras.

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces.

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example.

This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself.

The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects.

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.

This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I.

This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role.

The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "e;Conference on Geometric Analysis"e; (thirteen abstracts) and at the "e;Conference on Type Theory, Homotopy Theory and Univalent Foundations"e; (seven abstracts), both held at the Centre de Recerca Matematica (CRM) in Barcelona from July 1st to 5th, 2013, and from September 23th to 27th, 2013, respectively.

The topic of this book sits at the interface of the theory of higher categories (in the guise of (infinity,1)-categories) and the theory of properads.

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra.

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach.

This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis.

This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis.

This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory.

This Volume presents a unified approach to calculate the plane stress distribution of stress and strain in thin elastic/plastic discs subject to various loading conditions.

This monograph presents theoretical methods involving the Hamilton-Jacobi-Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control.

Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology.

Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics.

The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory.

Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner.

Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places.

This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use.

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

This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere.

The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory.

Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition.

Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition.

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

This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces.

This is the second revised and extended edition of the successful book on the algebraic structure of the Stone-Cech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory.

Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems.

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology.

The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics.

This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998).

This is a state-of-the-art introduction to the work of Franz Reidemeister, Meng Taubes, Turaev, and the author on the concept of torsion and its generalizations.

Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and combinatorial) group theory, topology, dynamical systems and probability theory.

Knot theory is a rapidly developing field of research with many applications not only for mathematics.

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

Central to this collection of papers are new developments in the general theory of localization of spaces.

Historical interest and studies of Weyl's role in the interplay between 20th-century mathematics, physics and philosophy have been increasing since the middle 1980s, triggered by different activities at the occasion of the centenary of his birth in 1985, and are far from being exhausted.