Fibre BundlesFibre bundles play an important role in just about every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. In this third edition two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added. These chapters result from the important role of the gauge group in mathematical physics and the continual usefulness of characteristic classes defined with connections on vector bundles. |
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Sadržaj
IV | 1 |
V | 2 |
VI | 4 |
VII | 6 |
VIII | 7 |
IX | 9 |
X | 11 |
XI | 12 |
CI | 166 |
CII | 168 |
CIII | 169 |
CIV | 170 |
CV | 171 |
CVI | 172 |
CVII | 175 |
CVIII | 176 |
XII | 14 |
XIII | 15 |
XIV | 17 |
XV | 20 |
XVI | 21 |
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XVIII | 24 |
XIX | 26 |
XX | 27 |
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XXIII | 33 |
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XXVI | 37 |
XXVII | 39 |
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XXIX | 42 |
XXX | 43 |
XXXI | 44 |
XXXII | 45 |
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XXXIV | 47 |
XXXV | 48 |
XXXVI | 49 |
XXXVII | 52 |
XXXVIII | 54 |
XXXIX | 56 |
XL | 58 |
XLI | 59 |
XLII | 61 |
XLIII | 62 |
XLIV | 64 |
XLV | 65 |
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XLVIII | 69 |
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L | 73 |
LI | 74 |
LII | 75 |
LIII | 76 |
LIV | 77 |
LVI | 79 |
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LIX | 83 |
LX | 87 |
LXI | 90 |
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LXXXI | 124 |
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LXXXVI | 134 |
LXXXVII | 136 |
LXXXVIII | 138 |
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XC | 140 |
XCI | 141 |
XCII | 143 |
XCIII | 145 |
XCIV | 148 |
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XCVI | 152 |
XCVII | 154 |
XCVIII | 156 |
XCIX | 158 |
C | 161 |
CIX | 177 |
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CXI | 180 |
CXII | 182 |
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CXV | 187 |
CXVI | 189 |
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CLII | 252 |
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CLX | 264 |
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CLXIX | 279 |
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CLXXIII | 290 |
CLXXIV | 291 |
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CLXXVII | 296 |
CLXXVIII | 298 |
CLXXIX | 300 |
CLXXX | 301 |
CLXXXI | 304 |
CLXXXII | 306 |
CLXXXIII | 307 |
CLXXXIV | 309 |
CLXXXVI | 312 |
CLXXXVII | 314 |
CLXXXVIII | 318 |
CLXXXIX | 319 |
CXC | 322 |
CXCI | 326 |
CXCII | 329 |
CXCIII | 333 |
CXCIV | 337 |
| 339 | |
CXCVI | 348 |
Ostala izdanja - Prikaži sve
Uobičajeni izrazi i fraze
action algebra apply associated B₁ base bundle morphism calculate called characteristic classes chart closed cofunctor cohomology commutative compact complex connected Consequently consider construction continuous Corollary covering cross section CW-complex defined Definition denote determined diagram dimension elements equals equivalence exact Example exists fibre bundle Finally finite formula function G-module G-space given holds homotopy identity inclusion induced isomorphism k-dimensional line bundle linear manifold maximal module monomorphism Moreover multiplication natural notations Observe operation orientation pair polynomial principal G-bundle projection Proof properties Proposition proves the theorem quotient relation Remark representation respectively restriction result ring sequence SO(n space sphere splitting statement structure subgroup subset subspace tangent theory tion topology trivial unique universal Vect vector bundle vector bundle morphism vector fields
Popularni odlomci
Stranica 346 - I'existence d'un champ d'elements de contact on d'une structure complex sur une sphere. CR Acad. Sci. Paris, 226 (1948), 2117-2119. 108. *On the product of sphere bundles and the duality theorem modulo two.
Stranica 346 - Espaces fibres en spheres et carres de Steenrod. Ann. Ecole Norm. Sup., 69 (1952), 109-181.
Stranica 341 - Borel. A., and F. Hirzebruch: 1. Characteristic classes and homogeneous spaces: I, II. III. Am. J. Math, 80: 458-538 (1958). 81: 31 5-382 (1959).
Stranica 345 - The Topology of Fibre Bundles, Princeton Mathematical Series. Princeton University Press, Princeton, NJ, 1951. 9. Ju. V. Zjuzin and V. Ja. Lin, Unramified algebraic extensions of commutati<* Banach algebras, Mat. Sb., 91 (133) (1973). 402-420. = Math. USSR Sbornik, 20 (1973'.
Stranica 339 - USA. 39: 636-638 (1953). 3. The relations on Steenrod powers of cohomology classes, in "Algebraic Geometry and Topology. A Symposium in Honor of S. Lefschetz.
Reference za ovu knjigu
Bibliografski podaci
| Naslov | Fibre Bundles Opseg 20 iz Graduate Texts in Mathematics, ISSN 0072-5285 |
| Autori | Dale Husemoller, Dale Husemöller |
| Izdanje | ilustrirano |
| Izdavač | Springer Science & Business Media, 1994 |
| ISBN | 0387940871, 9780387940878 |
| Duljina | Broj stranica: 353 |
| Izvezi navode | BiBTeX EndNote RefMan |