عنوان
پدید آورنده
موضوع
رده
QA3 .A57 no.155
QA3
.
A57
no
.
155
کتابخانه
محل استقرار
0821818554
9780821818558
b730869
Classifying spaces and fibrations /
[Book]
J. Peter May.
Providence, R.I. :
American Mathematical Society,
©1975.
xiii, 98 pages :
illustrations ;
26 cm.
Memoirs of the American Mathematical Society ;
no. 155
Includes bibliographical references (pages 95-98).
ℱ-spaces and ℱ-maps -- ℱ-fibrations -- ℱ-lifting functions -- Categories of fibres -- ℱ-quasifibrations and based fibres -- Examples of categories of fibres -- The geometric bar construction -- Groups, homogeneous spaces, and Abelian monoids -- The classification theorems -- The definition and examples of [italic]Y-structures -- The classification of [italic]Y-structures -- A categorical generalization of the bar construction -- The algebraic and geometric bar constructions -- Transports and the Serre spectral sequence -- The group completion theorem.
0
The basic theory of fibrations is generalized to a context in which fibres, and maps on fibres, are constrained to lie in any preassigned category of spaces [script capital] F. Then axioms are placed on [script capital] F to allow the development of a theory of associated principal fibrations and, under several choices of additional hypotheses on [script capital] F, a classification theorem is proven for such fibrations.
Classifying spaces.
Fiber bundles (Mathematics)
Fiber spaces (Mathematics)
31.61 algebraic topology.
Classifying spaces.
Faser
Faser (Mathematik)
Fiber bundles (Mathematics)
Fiber spaces (Mathematics)
Klassifikation
Klassifikation.
514/
.
224
QA3
QA3
.
A57
no
.
155
.
A63
no
.
155
31
.
61
SI
810
bcl
rvk
May, J. Peter.
20201203140621.0
مطالعه متن کتاب [Book]
Y
