عنوان
پدید آورنده
موضوع
رده
QA3 .A57 no.142
QA3
.
A57
no
.
142
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0821818422
(Number (ISBN
9780821818428
NATIONAL BIBLIOGRAPHY NUMBER
Number
b753411
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
On the theory and applications of differential torsion products /
General Material Designation
[Book]
First Statement of Responsibility
[by] V.K.A.M. Gugenheim and J. Peter May.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Providence, R.I. :
Name of Publisher, Distributor, etc.
American Mathematical Society,
Date of Publication, Distribution, etc.
©1974.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
ix, 93 pages :
Other Physical Details
illustrations ;
Dimensions
26 cm.
SERIES
Series Title
Memoirs of the American Mathematical Society,
Volume Designation
no. 142
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 92-93).
CONTENTS NOTE
Text of Note
Differential homological algebra -- Realizations of resolutions -- The differential torsion product and geometry -- Principal bundles, homogeneous spaces, and Postnikov systems -- Matric Massey products.
0
SUMMARY OR ABSTRACT
Text of Note
A new approach to differential homological algebra is developed, one which exploits more general types of resolutions than the bicomplexes used traditionally. An example of such a generalized resolution is exhibited and is used to prove that the differential torsion product reduces to the classical torsion product in favorable cases. This result is used to compute the cohomology of various spaces. The paper also includes proofs (within the new framework) of the results of Eilenberg and Moore which relate differential torsion products to the homology and cohomology of spaces, and a discussion of the relationship between differential torsion products and matric Massey products.
PARALLEL TITLE PROPER
Parallel Title
Differential torsion products
TOPICAL NAME USED AS SUBJECT
Algebra, Homological.
Differential algebra.
Spectral sequences (Mathematics)
Torsion products.
Algèbre différentielle.
Algèbre homologique.
Eilenberg-Moore, Suites spectrales d'
Produits de torsion.
31.65 varieties, cell complexes.
Algebra, Homological.
Differential algebra.
Matematica.
Spectral sequences (Mathematics)
Topologia Algebrica.
Torsion products.
DEWEY DECIMAL CLASSIFICATION
Number
512/
.
55
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA3
Book number
.
A57
no
.
142
OTHER CLASS NUMBERS
Class number
31
.
65
Class number
SI
810
System Code
bcl
System Code
rvk
PERSONAL NAME - PRIMARY RESPONSIBILITY
Gugenheim, V. K. A. M.,1923-
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
May, J. Peter.
ORIGINATING SOURCE
Date of Transaction
20201204125717.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
