The Topology of Fibre Bundles

Couverture
Princeton University Press, 25 avr. 1999 - 229 pages

Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically.


It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.

 

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Table des matières

I
3
II
6
III
14
IV
16
V
18
VI
20
VII
28
VIII
35
XXII
124
XXIII
131
XXIV
134
XXV
140
XXVI
144
XXVIII
148
XXIX
151
XXX
155

IX
43
X
47
XI
49
XII
67
XIII
72
XIV
83
XV
90
XVI
96
XVII
100
XVIII
105
XIX
110
XX
114
XXI
118
XXXI
166
XXXII
169
XXXIII
174
XXXIV
177
XXXV
181
XXXVI
184
XXXVII
190
XXXVIII
199
XL
204
XLI
218
XLII
223
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À propos de l'auteur (1999)

Norman Steenrod was a professor of Mathematics at Princeton University and a member of the National Academy Of Sciences. He also edited Reviews in Topology.

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