عنوان
پدید آورنده
موضوع
رده
QA612.33 .M34 1980
QA612
.
33
.
M34
1980
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0080871569
(Number (ISBN
1281797235
(Number (ISBN
6611797238
(Number (ISBN
9780080871561
(Number (ISBN
9781281797230
(Number (ISBN
9786611797232
NATIONAL BIBLIOGRAPHY NUMBER
Number
b724943
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Some applications of topological K-theory
General Material Designation
[Book]
First Statement of Responsibility
N. Mahammed, R. Piccinini, U. Suter.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
sole distributors for the U.S.A. and Canada, Elsevier North-Holland,
Date of Publication, Distribution, etc.
1980.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (329 p.).
SERIES
Series Title
North-Holland mathematics studies ;
Series Title
Notas de matemática ;
Volume Designation
45
Volume Designation
74
GENERAL NOTES
Text of Note
Description based upon print version of record.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 295-314) and index.
CONTENTS NOTE
Text of Note
Front Cover; Some Applications of Topological K-Theory; Copyright Page; Table of Contents; Preface; Chapter 0. A Review of K -- Theory; Chapter 1. The Hopf Invariant; 1. Introduction; 2. The Hopf Invariant of Maps from S3 onto S2; 3. The Hopf Invariant of Maps f : S2n-1 ? Sn; 4. Cohomological Interpretation of the Hopf Invariant; 5. K -- Theoretical Solution of the Hopf Invariant One Problem and Applications; Chapter 2. Torsion Free H -- Spaces of Rank Two; 1. Introduction; 2. Hopf Construction, projective Plane and Type of Torsion free Rank two H -- spaces
Text of Note
3. Torsion free H -- spaces of Type (3,7)4. The Homotopy Type Classification; 5. K -- Theoretical Proof of the Type Classification Theorem; Chapter 3. Homotopy and Stably Complex Structure; 1. The Question of Complex Structure; 2. Almost Complex Manifolds and Stably Complex Manifolds; 3. The Homotopy Type of M and M; 4. The manifold is not stably complex; Chapter 4. Vector Fields on Spheres; 1. Introduction; 2. Vector Fields and Sphere Bundles over Projective Spaces; 3. The K -- Theory of the projective Spaces; 4. Real Vector Fields on Spheres; 5. Cross-Sections of Complex Stiefel Fibrations
Text of Note
6. Cross-Sections of Quaternionic Stiefel FibrationsChapter 5. Span of Spherical Forms; 1. Introduction and Generalities about Spherical Forms; 2. Vector Fields on Spherical Forms; 3. G -- Fibre Homotopy J -- Equivalence; 4. G -- (Co) Reducibility; 5. Span of Spherical Forms of Cyclic Type; 6. Span of Spherical Forms of Quaternionic Type; Chapter 6. Immersions and Embeddings of Manifolds; 1. Background; 2. A brief Historical Survey; 3. Atiyah's Criterion; 4. About Immersions and Embeddings of Lens Spaces; 5. The Case of the Qm -- Spherical Forms; 6. Parallelizability of the Spherical Forms
Text of Note
7. Immersions of Complex Projective SpacesChapter 7. Group Homomorphisms and Maps Between Classifying Spaces; Vector Bundles Over Suspensions; 1. Generalities; 2. Cartan-Serre-Whitehead Towers and H -- Spaces; 3. Remarks about the KU -- Theory of certain Classifying Spaces; 4. A Theorem of Non-Surjectivity for aG,H; 5. Vector Bundles over Suspensions; Chapter 8. On the Index Theorem of Elliptic Operators; 1. Introduction; 2. The Index of an Elliptic Differential Operator; 3. Four Standard Complexes; 4. The Index Theorem; 5. The Generalized Lefschetz Fixed-Point Formula; Bibliography; Index
0
8
8
8
SUMMARY OR ABSTRACT
Text of Note
Some applications of topological K-theory.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
0-444-86113-0
TOPICAL NAME USED AS SUBJECT
Geometry, Algebraic.
K-theory.
Geometry, Algebraic.
K-theory.
DEWEY DECIMAL CLASSIFICATION
Number
512
.
55
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA612
.
33
Book number
.
M34
1980
PERSONAL NAME - PRIMARY RESPONSIBILITY
Mahammed, N.,1944-
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Piccinini, Renzo A.,1933-
Suter, U.,1935-
ORIGINATING SOURCE
Date of Transaction
20201213072419.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
