Algebraic topology

This book serves as a textbook in real analysis.

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.

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

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

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

This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology.

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics.

Friendly introduction to higher index theory, a growing subject at the intersection of geometry, topology and operator algebras.

This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers.

This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds.

The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry.

This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples.

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

The aim of the textbook is two-fold: first to serve as an introductory graduate course in Algebraic Topology and then to provide an application-oriented presentation of some fundamental concepts in Algebraic Topology to the fixed point theory.

This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created.

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary.

The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry.

Etale cohomology is an important branch in arithmetic geometry.

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology.

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics.

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters.

The Proceedings volume is divided into two parts.

This volume presents some of the longstanding research problems of Geometry and Topology.

This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.

This book is an introduction to the role of topology in the quantization of classical systems.

A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length.

This book brings together twenty essays on diverse topics in the history and science of knots.

In this second edition, the following recent papers have been added: "e;Gauss Codes, Quantum Groups and Ribbon Hopf Algebras"e;, "e;Spin Networks, Topology and Discrete Physics"e;, "e;Link Polynomials and a Graphical Calculus"e; and "e;Knots Tangles and Electrical Networks"e;.

This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology.

This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths.

This book constitutes a review volume on the relatively new subject of Quantum Topology.

These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski.

This volume consists of ten lectures given at an international workshop/conference on knot theory held in July 1996 at Waseda University Conference Center.

In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field.

One of the most significant unsolved problems in mathematics is the complete classification of knots.

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.