2 edition of **course in simple-homotopy theory** found in the catalog.

course in simple-homotopy theory

Marshall M. Cohen

- 200 Want to read
- 5 Currently reading

Published
**1973** by Springer-Verlag in New York .

Written in English

- Homotopy theory

**Edition Notes**

Series | Graduate texts in mathematics -- 10 |

The Physical Object | |
---|---|

Pagination | 114p. |

Number of Pages | 114 |

ID Numbers | |

Open Library | OL14823904M |

This book, the first one devoted solely to discrete Morse theory, serves as an introduction to the subject. Since the book restricts the study of discrete Morse theory to abstract simplicial complexes, a course in mathematical proof writing is the only prerequisite needed. 47 A Course in Number Theory and Cryptography 48 A Course in Robust Control Theory 49 A Course in Simple-Homotopy Theory 50 A Course in p-adic Analysis 51 A Course in the Theory of Groups 52 A Course in the Theory of Groups 53 A Course. A Course in Homological Algebra. 2nd ed. 5 MAC LANE. Categories for the Working Mathematician. 2nd ed. 6 HUGHES/PIPER. Projective Planes. 7 J.-P. Serre. A Course in Arithmetic. 8 TAKEUTI/ZARING. Axiomatic Set Theory. 9 HUMPHREYS. Introduction to Lie Algebras and Representation Theory. 10 COHEN. A Course in Simple Homotopy Theory. 11 CONWAY.

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This book grew out of courses which I taught at Cornell University and the University of Warwick during and I wrote it because of a strong belief that there should be readily available a semi-historical and geo metrically motivated exposition of J. Whitehead's beautiful theory of simple-homotopy types; that the best way to understand this theory is to know how and why it was by: This book grew out of courses which I taught at Cornell University and the University of Warwick during and I wrote it course in simple-homotopy theory book of a strong belief that there should be readily available a semi-historical and geo metrically motivated exposition of J.

Whitehead's beautiful theory of simple-homotopy types; that the best way to understand this theory is to know how and why it was built. The interplay between geometry and algebra in topology, each enriching the other, course in simple-homotopy theory book beautifully illustrated in simple-homotopy theory.

The subject is accessible (as in the courses mentioned at the outset) to students who have had a good oneยญ semester course in algebraic topology.

This is an excellent subject for course in simple-homotopy theory book topology student to "grow up" on. The interplay between geometry and algebra in topology, each enriching the other, is beautifully illustrated in simple-homotopy Author: Saunders Maclane. algebraic K-theory, and homotopy theory.

Familiarity with these topics is important not just for a topology student but any student of pure mathe-matics, including the student moving towards research in geometry, algebra, or analysis. The prerequisites for a course based on this book include a working. These notes were used by the second author in a course on simplicial homotopy theory given at the CRM in February in preparation for the advanced courses on simplicial methods in higher categories that followed.

They form the rst four chapters of a book on simplicial homotopy theory, which we are currently preparing. HOMOTOPY THEORY FOR BEGINNERS JESPER M. M˜LLER Abstract. This note contains comments to Chapter 0 in Allan Hatcher’s book [5].

Contents 1. Notation and some standard spaces and constructions1 Standard topological spaces1 The quotient topology 2 The category of topological spaces and continuous maps3 2.

Homotopy 4 Relative. A Course in Simple-Homotopy Theory by Marshall M. Cohen: Functions of One Complex Variable I by John B. Conway: Graduate Texts in Mathematics: The Structure of Fields by David Winter: Measure Theory by Paul R. Halmos: Fibre Bundles by Dale Husemoller: Linear Algebraic Groups by James E.

Humphreys: Linear Algebra by. A Course in Number Theory and Cryptography, Neal Koblitz. A Course in Number Theory and Cryptography, Neal Koblitz.

A Course in Simple-Homotopy Theory, Marshall M. Cohen. A Course in p-adic Analysis, Alain M. Robert. A Course in the Theory of Groups, Derek J. Robinson. A Course in the Theory of Groups, Derek J. Robinson. Cohen "A Course in Simple-Homotopy Theory" Recommended previous knowledge Basic algebraic topology (covering spaces, CW complexes, singular and cellular homology) and some general familiarity with commutative algebra.

A Course in Simple-Homotopy Theory epub 下载 mobi 下载 pdf 下载 txt 下载 A Course in Simple-Homotopy Theory pdf epub mobi txt 下载 图书描述 A Course in Simple-Homotopy Theory 下载 mobi epub pdf txt. 著者简介 图书目录 A Course in Simple-Homotopy Theory pdf epub mobi txt 下载.

Notes for a second-year graduate course in advanced topology at MIT, designed to introduce the student to some of the important concepts of homotopy theory. This book consists of notes for a second year graduate course in advanced topology given by Professor Whitehead at M.I.T.

Presupposing a knowledge of the fundamental group and of algebraic topology as far as singular theory, it is designed. A Course in Number Theory and Cryptography,Neal Koblitz. A Course in Simple-Homotopy Theory,Marshall M.

Cohen. A Course in p-adic Analysis,Alain M. Robert. A Course in the Theory of Groups,Derek J. illustrated in simple-homotopy theory. The subject is accessible (as in the courses mentioned at the outset) to students who have had a good one semester course in algebraic topology.

I have tried to write proofs which meet the needs of such students. (When a proof was omitted and left as an exercise. A Course in Simple-Homotopy Theory (ebook) ISBN ; Additional ISBNs:; Author: M.

Michael Cohen; Edition: Publisher: Springer-Verlag New York Inc. Published: Delivery: download immediately after purchasing; Format: PDF/EPUB (High Quality, No missing contents and Printable).

The interplay between geometry and algebra in topology, each enriching the other, is beautifully illustrated in simple-homotopy theory.

The subject is accessible (as in the courses mentioned at the. A Course in Simple Homotopy Groups. Theory. 43 GILLMANlJERlSON. Rings of Continuous 11 CONWAY. Functions of One Complex Functions. Variable I. 2nd ed. 44 KENDIG. Elementary Algebraic Geometry.

> 12 BEALS. Advanced Mathematical Analysis. 45 LOEVE. Probability Theory I. 4th ed. 13 ANDERSON/FULLER. Rings and Categories 46 LOEVE. Department of Mathematics | The University of Chicago. A Course in Simple-Homotopy Theory. [Marshall M Cohen] -- This book grew out of courses which I taught at Cornell University and the University of Warwick during and I wrote it because of a strong belief that there should be readily available a.

A very useful textbook is: M. Cohen, A course in Simple Homotopy Theory, Grad. Texts in Math, 10, Springer, A more abstract, but at the same time geometric, approach to simple homotopy theory was explored in Cohen’s book as well as in the papers by Eckmann, Eckmann and Maumary, and Siebenmann, listed above.

This is the setting that most of the following material (such as Cohens Book A course in simple homotopy theory) are presented in and probably most familiar to most topologists.

By a cellular simple homotopy equivalence, I mean a map of CW-complexes as in 3. It seems to me, that it is somewhat folklore knowledge, that the second setting is a.

A Course in Simple-Homotopy Theory by Marshall M Cohen,available at Book Depository with free delivery worldwide. Course in simple-homotopy theory. New York, Springer-Verlag [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors /.

A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative.

Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments.

Buy A Course in Simple-Homotopy Theory by Cohen, Marshall M, Cohen, M M online on at best prices. Fast and free shipping free returns cash on delivery available on eligible : Marshall M Cohen, M M Cohen.

A Course in Simple–Homotopy Theory, Graduate Texts in Mathematics, No. 10, Springer Verlag, N.Y.,MR 50, # ARTICLES: 2.

Local homeomorphisms of Euclidean space onto arbitrary manifolds, Michi- gan Math. 12 (), –, MR 32, # 3. 9 Introduction to Lie Algebras and Representation Theory, James E.

Humphreys 10 A Course in Simple-Homotopy Theory, M. Cohen 11 Functions of One Complex Variable I, John B. Conway 12 Advanced Mathematical Analysis, R. Beals 13 Rings and Categories of Modules, Anderson, Fuller 14 Stable Mappings and Their Singularities, Golubitsky, Guillemin.

A Course in Homological Algebra. 2nd ed. 5MAC LANE. Categories for the Working Mathematician. 2nd ed. 6HUGHES/PIPER. Projective Planes. 8TAKEUTI/ZARING. Axiomatic Set Theory. 9HUMPHREYS. Introduction to Lie Algebras and Representation Theory. 10 COHEN. A Course in Simple Homotopy Theory.

11 CONWAY. Functions of One Complex Variable I. 2nd ed. A Course in Simple Homotopy Theory. 11 CONWAY. Functions of One Complex Variable I.

2nd ed. 12 BEALS. Advanced Mathematical Analysis. 13 ANDERSON/FULLER. Rings and Categories of Modules. 2nd ed. 14 GOLUBITSKY/GUILLEMIN. Stable Mappings and Their Singularities. 15 BERBERIAN.

Lectures in Functional Analysis and Operator Theory. 16 WINTER. The. HILTONISTAMMBACH. A Course in Homological Algebra. 2nd ed. MAC LANE. Categories for the Working Mathematician.

HUGWPPER. Projective Planes. SERRE. A Come in Arithmetic. TAKE~~~~AIUNG. Axiomatic Set Theory. HUMPHREYS.

Introduction to Lie Algebras and Representation Theory. COHEN. A Course in Simple Homotopy Theory. CONWAY. Functions of. The obstruction to a homotopy equivalence being a simple homotopy equivalence is the Whitehead torsion, ().

See also. Discrete Morse theory; References. Cohen, Marshall M. (), A course in simple-homotopy theory, Berlin, New York: Springer-Verlag, ISBNMR Lectures on Homotopy Theory - Ebook written by R.A. Piccinini. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Lectures on Homotopy Theory. Access Google Sites with a free Google account (for personal use) or G Suite account (for business use). Bulletin, 72, (). There are also two accounts available in book form: M.M. Cohen, A course in simple-homotopy theory, Graduate Texts in Mathematics ser Springer-Verlag, Berlin (); and G.

de Rham, S. Maumary and M.A. Kervaire, Torsion et type simple dTiomotopie, Lecture Notes in Mathemat Springer-Verlag, Berlin (). The book A Course in Simple-Homotopy Theory (Graduate Texts in Mathematics) is much recommended to you to study. You can also get the e-book in the official web site, so you can quicker to read the book.

Jason Nunez: A lot of people always spent all their free time to vacation or perhaps go to the outside with them loved ones. The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.g.

spaces over a fixed base, groupoids, chain complexes, module categories). Studying categorical versions of homotopy structure, such as cylinders and path space. A Course in Simple Homotopy Theory. 11 CONWAY. Functions of One Complex Variable 1. 2nd ed. This course on field theory is the first semester of the field theory books around, most of these were less complete than I wanted.

A Course in Arithmetic by Jean-Pierre Serre: 7: Axiomatic set theory by Gaisi Takeuti: 8: Introduction to Lie Algebras and Representation Theory by James E. Humphreys: 9: A Course in Simple-Homotopy Theory by Marshall M. Cohen: Functions of One Complex Variable I by John B.

Conway: M. Cohen, Ode to Geometric Group Theory, American Mathematical Monthly (), page M. Cohen and C. Rourke, The surjectivity problem for one-generator, one-relator extensions of torsion free groups, Geometry and Topology 5 (), -- We adapt appropriate techniques from simple homotopy theory and Hilbert cube manifold theory for use in more general spaces.

Here is an outline of our proof: (i) Following Mather[ 12], we prove that if d: X --> Y is a homotopy domination with right inverse u, then Y. A Course in Simple-Homotopy Theory, Marshall M. Cohen, (ISBN X) Functions of One Complex Variable I, John B.

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The GTM series is easily identified by a white band at the top of the book. A Course in Simple-Homotopy Theory, Marshall. M.