Intended to provide a first course in algebraic topology to advanced undergraduates, this book introduces homotopy theory, the duality theorem and the relation of topological ideas to other branches of pure mathematics. It is unique in not presupposing a course in general topology and in avoiding the use of simplexes. Exercises and problems at the end of each chapter. Indexes of terms and notations. 1972 edition.

A Geometric Introduction to Topology (Addison-Wesley Series in Mathematics)

Wall, C. T. C.

Addison-Wesley Educational Publishers, Inc.

In 1977 several eminent mathematicians were invited to Durham to present papers at a short conference on homological and combinatorial techniques in group theory. The lectures, published here, aimed at presenting in a unified way new developments in the area. Group theory is approached from a geometrical viewpoint and much of the material has not previously been published. The various ways in which topological ideas can be used in group theory are also brought together. The volume concludes with an extensive set of problems, ranging from explicit questions demanding detailed calculation to fundamental questions motivating research in the area. These lectures will be of interest mainly to researchers in pure mathematics but will also prove useful in connection with relevant postgraduate courses.

Homological Group Theory (London Mathematical Society Lecture Note Series, Series Number 36)

Science & Math

Mathematics

Cambridge University Press

Singular Points of Plane Curves (London Mathematical Society Student Texts, Series Number 63)

This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of the foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts that will enable them to move on to more detailed study or research within the field.

The publication of this book in 1970 marked the culmination of a particularly exciting period in the history of the topology of manifolds. The world of high-dimensional manifolds had been opened up to the classification methods of algebraic topology by Thom's work in 1952 on transversality and cobordism, the signature theorem of Hirzebruch in 1954, and by the discovery of exotic spheres by Milnor in 1956. In the 1960s, there had been an explosive growth of interest in the surgery method of understanding the homotopy types of manifolds (initially in the differentiable category), including results such as the $h$-cobordism theory of Smale (1960), the classification of exotic spheres by Kervaire and Milnor (1962), Browder's converse to the Hirzebruch signature theorem for the existence of a manifold in a simply connected homotopy type (1962), the $s$-cobordism theorem of Barden, Mazur, and Stallings (1964), Novikov's proof of the topological invariance of the rational Pontrjagin classes of differentiable manifolds (1965), the fibering theorems of Browder and Levine (1966) and Farrell (1967), Sullivan's exact sequence for the set of manifold structures within a simply connected homotopy type (1966), Casson and Sullivan's disproof of the Hauptvermutung for piecewise linear manifolds (1967), Wall's classification of homotopy tori (1969), and Kirby and Siebenmann's classification theory of topological manifolds (1970). The original edition of the book fulfilled five purposes by providing: . a coherent framework for relating the homotopy theory of manifolds to the algebraic theory of quadratic forms, unifying many of the previous results; . a surgery obstruction theory for manifolds with arbitrary fundamental group, including the exact sequence for the set of manifold structures within a homotopy type, and many computations; . the extension of surgery theory from the differentiable and piecewise linear categories to the topological category; . a survey of most of the activity in surgery up to 1970; . a setting for the subsequent development and applications of the surgery classification of manifolds. This new edition of this classic book is supplemented by notes on subsequent developments. References have been updated and numerous commentaries have been added. The volume remains the single most important book on surgery theory.

Surgery on Compact Manifolds (Mathematical Surveys & Monographs)

Amer Mathematical Society

Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.

Differential Topology (Cambridge Studies in Advanced Mathematics, Series Number 156)

Homological Group Theory (London Mathematical Society Lecture Note Series)

This book provides a great overview of technical aspects one would encounter in a safety or industrial hygienist position.

See the best price to sell, buy, or rent books by Wall, C. T. C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Wall, C. T. C.

See the best price to sell, buy, or rent books by Wall, C. T. C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

A Geometric Introduction to Topology (Addison-Wesley Series in Mathematics)

Homological Group Theory (London Mathematical Society Lecture Note Series, Series Number 36)

Singular Points of Plane Curves (London Mathematical Society Student Texts, Series Number 63)

Singular Points of Plane Curves (London Mathematical Society Student Texts, Series Number 63)

Surgery on Compact Manifolds (Mathematical Surveys & Monographs)

Differential Topology (Cambridge Studies in Advanced Mathematics, Series Number 156)

Homological Group Theory (London Mathematical Society Lecture Note Series)

Homological Group Theory (London Mathematical Society Lecture Note Series, Series Number 36)