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A Geometric Approach to Homology Theory

A Geometric Approach to Homology Theory Author S. Buonchristiano
ISBN-10 9780521209403
Release 1976-04-01
Pages 149
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The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology especially homology theory as it reaches the frontiers of current research in the topic. The book is also suitable for use as a graduate course in homology theory.



Lond Mathematical Society Lecture Note Series 81 Skew Fields

Lond Mathematical Society Lecture Note Series  81   Skew Fields Author
ISBN-10
Release
Pages
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The Poincar Conjecture

The Poincar   Conjecture Author James Carlson
ISBN-10 9780821898659
Release 2014-10-16
Pages 178
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The conference to celebrate the resolution of the Poincare conjecture, which is one of the Clay Mathematics Institute's seven Millennium Prize Problems, was held at the Institut Henri Poincare in Paris. Several leading mathematicians gave lectures providing an overview of the conjecture--its history, its influence on the development of mathematics, and, finally, its proof. This volume contains papers based on the lectures at that conference. Taken together, they form an extraordinary record of the work that went into the solution of one of the great problems of mathematics.



Low Dimensional Topology

Low Dimensional Topology Author Samuel J. Lomonaco
ISBN-10 9780821850169
Release 1983
Pages 346
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This volume arose from a special session on Low Dimensional Topology organized and conducted by Dr. Lomonaco at the American Mathematical Society meeting held in San Francisco, California, January 7-11, 1981.



Algebraic Varieties

Algebraic Varieties Author G. Kempf
ISBN-10 0521426138
Release 1993-09-09
Pages 163
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An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.



London Mathematical Society lecture note series

London Mathematical Society lecture note series Author
ISBN-10 UCAL:B5111463
Release 1987
Pages
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London Mathematical Society lecture note series has been writing in one form or another for most of life. You can find so many inspiration from London Mathematical Society lecture note series also informative, and entertaining. Click DOWNLOAD or Read Online button to get full London Mathematical Society lecture note series book for free.



Presentations of Groups

Presentations of Groups Author D. L. Johnson
ISBN-10 0521208297
Release 1976
Pages 204
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Presentations of Groups has been writing in one form or another for most of life. You can find so many inspiration from Presentations of Groups also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Presentations of Groups book for free.



Algebraic Topology

Algebraic Topology Author J. F. Adams
ISBN-10 9780521080767
Release 1972-04-27
Pages 300
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This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles.



Interaction Models

Interaction Models Author Norman Biggs
ISBN-10 9780521217705
Release 1977-11-24
Pages 101
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This book is based on a set of lectures given to a mixed audience of physicists and mathematicians. The desire to be intelligible to both groups is the underlying preoccupation of the author. Physicists nowadays are particularly interested in phase transitions. The typical situation is that a system of interacting particles exhibits an abrupt change of behaviour at a certain temperature, although the local forces between the particles are thought to be smooth functions of temperature. This account discusses the theory behind a simple model of such phenomena. An important tool is the mathematical discipline known as the Theory of Graphs. There are five chapters, each subdivided into sections. The first chapter is intended as a broad introduction to the subject, and it is written in a more informal manner than the rest. Notes and references for each chapter are given at the end of the chapter.



Continuous Crossed Products and Type III Von Neumann Algebras

Continuous Crossed Products and Type III Von Neumann Algebras Author A. van Daele
ISBN-10 9780521219754
Release 1978-07-20
Pages 68
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These notes, based on lectures given at the University of Newcastle upon Tyne, provide an introduction to the theory of von Neumann algebras.



Introduction to the Representation Theory of Compact and Locally Compact Groups

Introduction to the Representation Theory of Compact and Locally Compact Groups Author Alain Robert
ISBN-10 9780521289757
Release 1983-02-10
Pages 205
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Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.



Monographic Series

Monographic Series Author Library of Congress
ISBN-10 UIUC:30112024897453
Release 1976
Pages
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Bulletin

Bulletin Author
ISBN-10 UOM:39015046023894
Release 1975
Pages
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An Introduction to Twistor Theory

An Introduction to Twistor Theory Author S. A. Huggett
ISBN-10 0521456894
Release 1994
Pages 178
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This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics.



Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society Author
ISBN-10 UCSD:31822020284568
Release 1982
Pages
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Bulletin new series of the American Mathematical Society

Bulletin  new series  of the American Mathematical Society Author American Mathematical Society
ISBN-10 UCSD:31822033891367
Release 2004
Pages
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Two Dimensional Homotopy and Combinatorial Group Theory

Two Dimensional Homotopy and Combinatorial Group Theory Author Cynthia Hog-Angeloni
ISBN-10 0521447003
Release 1993-12-09
Pages 412
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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 since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.