عنوان
پدید آورنده
موضوع
رده
QA612.7 .B385 1989eb
QA612
.
7
.
B385
1989eb
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0511662521
(Number (ISBN
9780511662522
Erroneous ISBN
0521333768
Erroneous ISBN
9780521055314
Erroneous ISBN
9780521333764
NATIONAL BIBLIOGRAPHY NUMBER
Number
b740339
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Algebraic homotopy /
General Material Designation
[Book]
First Statement of Responsibility
Hans Joachim Baues.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
1989, ©1988.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xix, 466 pages) :
Other Physical Details
illustrations
SERIES
Series Title
Cambridge studies in advanced mathematics ;
Volume Designation
15
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 455-460) and index.
SUMMARY OR ABSTRACT
Text of Note
This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.
OTHER EDITION IN ANOTHER MEDIUM
Title
Algebraic homotopy.
TOPICAL NAME USED AS SUBJECT
Categories (Mathematics)
Homotopy theory.
Categories (Mathematics)
Homotopy theory.
DEWEY DECIMAL CLASSIFICATION
Number
514/
.
24
Edition
19
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA612
.
7
Book number
.
B385
1989eb
PERSONAL NAME - PRIMARY RESPONSIBILITY
Baues, Hans J.,1943-
ORIGINATING SOURCE
Date of Transaction
20201204011543.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
