Algebraic topology

This book deals with nonlinear boundary value problems for semilinear elliptic equations on unbounded domains with nonlinearities involving the subcritical Sobolev exponent.

There have been exciting developments in the area of knot theory in recent years.

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics.

The physical properties of knotted and linked configurations in space have long been of interest to mathematicians.

This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s.

This volume gathers the contributions from the international conference "e;Intelligence of Low Dimensional Topology 2006,"e; which took place in Hiroshima in 2006.

LinKnot - Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics.

This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s-1960s.

This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications.

This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference.

This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process.

The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s.

The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology.

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

Manifolds fall naturally into two classes depending on whether they can be fitted with a distance measuring function or not.

This book serves as a textbook in real analysis.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras.

Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved.

This book is intended as a one-semester course in general topology, a.

The D(2) problem is a fundamental problem in low dimensional topology.

This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail.

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent.

Topology as a subject, in our opinion, plays a central role in university education.

Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines.

A NATO Advanced Study Institute entitled "e;Algebraic K-theory and Algebraic Topology"e; was held at Chateau Lake Louise, Lake Louise, Alberta, Canada from December 12 to December 16 of 1991.

Group cohomology has a rich history that goes back a century or more.

In Chapter 6, we describe the concept of braid equivalence from the topological point of view.

This book is an attempt to give a systematic presentation of results and meth- ods which concern the fixed point theory of multivalued mappings and some of its applications.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties.

The NATO Advanced Study Institute on "e;The Arithmetic and Geometry of Algebraic Cycles"e; was held at the Banff Centre for Conferences in Banff (Al- berta, Canada) from June 7 until June 19, 1998.

This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus.

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 of H-spaces and loop spaces.

Introduction In the last few years a few monographs dedicated to the theory of topolog- ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM].

A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied.

A NATO Advanced Study Institute entitled "e;Algebraic K-theory: Connections with Geometry and Topology"e; was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987.

The NATO Advanced Study Institute "e;Axiomatic, enriched and rna- tivic homotopy theory"e; took place at the Isaac Newton Institute of Mathematical Sciences, Cambridge, England during 9-20 September 2002.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

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.

These proceedings contain the contributions of some of the participants in the "e;intensive research period"e; held at the De Giorgi Research Center in Pisa, during the period May-June 2010.

Nato dall'esperienza dell'autore nell'insegnamento della topologia agli studenti del corso di Laurea in Matematica, questo libro contiene le nozioni fondamentali di topologia generale ed una introduzione alla topologia algebrica.

Nato dall’esperienza dell’autore nell’insegnamento della topologia agli studenti del corso di Laurea in Matematica, questo libro contiene le nozioni fondamentali di topologia generale ed una introduzione alla topologia algebrica.

This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications.

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.