Algebraic Topology Paperback C. R. F. Maunder
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Algebraic Topology Paperback C. R. F. Maunder
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4,47 USD (environ 3,83 EUR) USPS Media MailTM.
Lieu où se trouve l'objet : Bedford, Indiana, États-Unis
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Numéro de l'objet eBay :197574035999
Caractéristiques de l'objet
- État
- Très bon état
- Commentaires du vendeur
- Book Title
- Algebraic Topology Paperback C. R. F. Maunder
- Personalized
- No
- Educational Level
- Adult & Further Education
- Country/Region of Manufacture
- United States
- ISBN
- 9780486691312
À propos de ce produit
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486691314
ISBN-13
9780486691312
eBay Product ID (ePID)
782503
Product Key Features
Number of Pages
400 Pages
Language
English
Publication Name
Algebraic Topology
Publication Year
1996
Subject
Topology
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
15.2 Oz
Item Length
8.4 in
Item Width
5.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
95-051359
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
514/.2
Table Of Content
CHAPTER 1 ALGEBRAIC AND TOPOLOGICAL PRELIMINARIES 1.1 Introduction 1.2 Set theory 1.3 Algebra 1.4 Analytic Topology CHAPTER 2 HOMOTOPY AND SIMPLICIAL COMPLEXES 2.1 Introduction 2.2 The classification problem; homotopy 2.3 Simplicial complexes 2.4 Homotopy and homeomorphism of polyhedra 2.5 Subdivision and the Simplicial Approximation Theorem Exercises Notes on Chapter 2 CHAPTER 3 THE FUNDAMENTAL GROUP 3.1 Introduction 3.2 Definition and elementary properties of the fundamental group 3.3 Methods of calculation 3.4 Classification of triangulable 2-manifolds Exercises Notes on Chapter 3 CHAPTER 4 HOMOLOGY THEORY 4.1 Introduction 4.2 Homology groups 4.3 Methods of calculation: simplicial homology 4.4 Methods of calculation: exact sequences 4.5 "Homology groups with arbitrary coefficients, and the Lefschetz Fixed-Point Theorem" Exercises Notes on Chapter 4 CHAPTER 5 COHOMOLOGY AND DUALITY THEOREMS 5.1 Introduction 5.2 Definitions and calculation theorems 5.3 The Alexander-Poincaré Duality Theorem 5.4 Manifolds with boundary and the Lefschetz Duality Theorem Exercises Notes on Chapter 5 CHAPTER 6 GENERAL HOMOTOPY THEORY 6.1 Introduction 6.2 Some geometric constructions 6.3 Homotopy classes of maps 6.4 Exact sequences 6.5 Fibre and cofibre maps Exercises Notes on Chapter 6 CHAPTER 7 HOMOTOPY GROUPS AND CW-COMPLEXES 7.1 Introduction 7.2 Homotopy groups 7.3 CW-complexes 7.4 Homotopy groups of CW-complexes 7.5 The theorem of J. H. C. Whitehead and the Cellular Approximation Theorem Exercises Notes on Chapter 7 CHAPTER 8 HOMOLOGY AND COHOMOLOGY OF CW-COMPLEXES 8.1 Introduction 8.2 The Excision Theorem and cellular homology 8.3 The Hurewicz theorem 8.4 Cohomology and Eilenberg-MacLane spaces 8.5 Products Exercises Notes on Chapter 8 References Index
Edition Description
Reprint,New Edition
Synopsis
Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. The presentation of the homotopy theory and the account of duality in homology manifolds make the text ideal for a course on either homotopy or homology theory.The idea of algebraic topology is to translate problems in topology into problems in algebra with the hope that they have a better chance of solution. The translation process is usually carried out by means of the homology or homotopy groups of a topological space. Much of the book is therefore concerned with the construction of these algebraic invariants, and with applications to topological problems, such as the classification of surfaces and duality theorems for manifolds. Other important topics covered are homotopy theory, CW-complexes and the co-homology groups associated with a general Ω-spectrum.Dr. Maunder has provided many examples and exercises as an aid, and the notes and references at the end of each chapter trace the historical development of the subject and also point the way to more advanced results."Throughout the text the style of writing is first class. The author has given much attention to detail, yet ensures that the reader knows where he is going. An excellent book." -- Bulletin of the Institute of Mathematics and Its Applications., Thorough, modern treatment, essentially from a homotopy theoretic viewpoint. Topics include homotopy and simplicial complexes, the fundamental group, homology theory, homotopy theory, homotopy groups and CW-Complexes, and other topics. Each chapter contains exercises and suggestions for further reading. 1980 corrected edition., Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. The presentation of the homotopy theory and the account of duality in homology manifolds make the text ideal for a course on either homotopy or homology theory. The idea of algebraic topology is to translate problems in topology into problems in algebra with the hope that they have a better chance of solution. The translation process is usually carried out by means of the homology or homotopy groups of a topological space. Much of the book is therefore concerned with the construction of these algebraic invariants, and with applications to topological problems, such as the classification of surfaces and duality theorems for manifolds. Other important topics covered are homotopy theory, CW-complexes and the co-homology groups associated with a general -spectrum. Dr. Maunder has provided many examples and exercises as an aid, and the notes and references at the end of each chapter trace the historical development of the subject and also point the way to more advanced results. "Throughout the text the style of writing is first class. The author has given much attention to detail, yet ensures that the reader knows where he is going. An excellent book." -- Bulletin of the Institute of Mathematics and Its Applications., Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. The presentation of the homotopy theory and the account of duality in homology manifolds make the text ideal for a course on either homotopy or homology theory.The idea of algebraic topology is to translate problems in topology into problems in algebra with the hope that they have a better chance of solution. The translation process is usually carried out by means of the homology or homotopy groups of a topological space. Much of the book is therefore concerned with the construction of these algebraic invariants, and with applications to topological problems, such as the classification of surfaces and duality theorems for manifolds. Other important topics covered are homotopy theory, CW-complexes and the co-homology groups associated with a general -spectrum.Dr. Maunder has provided many examples and exercises as an aid, and the notes and references at the end of each chapter trace the historical development of the subject and also point the way to more advanced results."Throughout the text the style of writing is first class. The author has given much attention to detail, yet ensures that the reader knows where he is going. An excellent book." -- Bulletin of the Institute of Mathematics and Its Applications., Thorough, modern treatment, essentially from a homotopy theoretic viewpoint. Topics include homotopy and simplicial complexes, the fundamental group, homology theory, homotopy theory, homotopy groups and CW-Complexes, and other topics. Includes exercises. Bibliography. 1980 corrected edition.
LC Classification Number
QA612.M38
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- j***j (77)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéThe book came on time but is somewhere between acceptable and good condition (listed item condition: good) and was a lot dirtier than I would like, but still manageable. Still, overall, between positive and neutral experience.
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