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Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much;

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Combinatorial Methods

theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional;

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An Illustrated Introduction to Topology and Homotopy

the fundamental group. The book then covers basic combinatorial group theory, the Seifert-van Kampen theorem, knots, and low-dimensional;

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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128

Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on;

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Combinatorial And Toric Homotopy: Introductory Lectures

This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its;

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London Mathematical Society Lecture Note Series

Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done;

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Combinatorial and Geometric Group Theory

diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and;

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London Mathematical Society Lecture Note Series

extension theory from the viewpoint of derived objects and proves that for groups of period four, two-dimensional homotopy types are parametrized by;

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Algebraic Homotopy

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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Cambridge Studies in Advanced Mathematics

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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Algebraic Topology

theory are included. Degree and fixed-point theory are presented with their extensions to infinite dimensional spaces. The book also contains a;

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Syzygies and Homotopy Theory

researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well;

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Topology of Infinite Dimensional Manifolds

presents combinatorial -manifolds, the infinite-dimensional version of combinatorial n-manifolds, and proofs of two remarkable results, that;

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Topology of Infinite Dimensional Manifolds

presents combinatorial -manifolds, the infinite-dimensional version of combinatorial n-manifolds, and proofs of two remarkable results, that;

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Commutator Calculus and Groups of Homotopy Classes

group and Lie algebra theory and rely on an extensive and systematic study of the algebraic properties of the classical homotopy operations;

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Fast Solution of Discretized Optimization Problems

new results and recent methods is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory.;

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Rational Homotopy Theory Ii

growth and structure of the rational homotopy groups of finite dimensional CW complexes, and concludes with a number of open questions.This;

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London Mathematical Society Lecture Note Series

Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds;

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Quantum Field Theory and String Theory

Many contributions to these proceeding of the May 1993 workshop are concerned with two dimensional quantum field theory. The continuous;

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London Mathematical Society Lecture Note Series

definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory;

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Group Theory, Statistics, and Cryptography

This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York;

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Combinatorial Group Testing And Its Applications

, clone library screening and other fields. This book is the first attempt to cover the theory and applications of combinatorial group testing;

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Aspects Of Infinite Groups

theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions;

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Advances in Homotopy Theory

contributions to homotopy theory, highlighting problems and initiating new methods. The present volume contains papers from internationally;

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The Grothendieck Theory of Dessins d'Enfants

them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli;

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Global Homotopy Theory

actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework;

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