Fibre BundlesSpringer Science & Business Media, 1994 - Broj stranica: 353 Fibre 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. |
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 |
XVII | 22 |
XVIII | 24 |
XIX | 26 |
XX | 27 |
XXI | 28 |
XXII | 31 |
XXIII | 33 |
XXIV | 34 |
XXV | 35 |
XXVI | 37 |
XXVII | 39 |
XXVIII | 40 |
XXIX | 42 |
XXX | 43 |
XXXI | 44 |
XXXII | 45 |
XXXIII | 46 |
XXXIV | 47 |
XXXV | 48 |
XXXVI | 49 |
XXXVII | 52 |
XXXVIII | 54 |
XXXIX | 56 |
XL | 58 |
XLI | 59 |
XLII | 61 |
XLIII | 62 |
XLIV | 64 |
XLV | 65 |
XLVI | 66 |
XLVII | 67 |
XLVIII | 69 |
XLIX | 71 |
L | 73 |
LI | 74 |
LII | 75 |
LIII | 76 |
LIV | 77 |
LVI | 79 |
LVII | 81 |
LVIII | 82 |
LIX | 83 |
LX | 87 |
LXI | 90 |
LXII | 91 |
LXIII | 94 |
LXIV | 95 |
LXVI | 96 |
LXVII | 97 |
LXVIII | 98 |
LXIX | 101 |
LXX | 103 |
LXXI | 104 |
LXXII | 107 |
LXXIII | 109 |
LXXIV | 111 |
LXXV | 113 |
LXXVI | 114 |
LXXVII | 118 |
LXXVIII | 120 |
LXXIX | 121 |
LXXX | 122 |
LXXXI | 124 |
LXXXII | 128 |
LXXXIII | 129 |
LXXXIV | 131 |
LXXXV | 133 |
LXXXVI | 134 |
LXXXVII | 136 |
LXXXVIII | 138 |
LXXXIX | 139 |
XC | 140 |
XCI | 141 |
XCII | 143 |
XCIII | 145 |
XCIV | 148 |
XCV | 151 |
XCVI | 152 |
XCVII | 154 |
XCVIII | 156 |
XCIX | 158 |
C | 161 |
CIX | 177 |
CX | 179 |
CXI | 180 |
CXII | 182 |
CXIII | 185 |
CXIV | 186 |
CXV | 187 |
CXVI | 189 |
CXVII | 191 |
CXVIII | 192 |
CXIX | 193 |
CXX | 194 |
CXXI | 195 |
CXXIII | 196 |
CXXIV | 198 |
CXXV | 200 |
CXXVI | 203 |
CXXVII | 206 |
CXXVIII | 210 |
CXXIX | 211 |
CXXX | 213 |
CXXXI | 215 |
CXXXII | 217 |
CXXXIII | 219 |
CXXXIV | 221 |
CXXXV | 223 |
CXXXVI | 224 |
CXXXVII | 225 |
CXXXVIII | 227 |
CXXXIX | 229 |
CXL | 230 |
CXLI | 232 |
CXLII | 233 |
CXLIII | 235 |
CXLIV | 237 |
CXLV | 240 |
CXLVI | 243 |
CXLVII | 245 |
CXLVIII | 247 |
CXLIX | 248 |
CL | 250 |
CLI | 251 |
CLII | 252 |
CLIII | 256 |
CLIV | 257 |
CLV | 258 |
CLVI | 259 |
CLVII | 260 |
CLVIII | 261 |
CLIX | 262 |
CLX | 264 |
CLXI | 266 |
CLXII | 267 |
CLXIII | 269 |
CLXIV | 272 |
CLXV | 274 |
CLXVI | 275 |
CLXVII | 276 |
CLXVIII | 278 |
CLXIX | 279 |
CLXX | 280 |
CLXXI | 285 |
CLXXII | 288 |
CLXXIII | 290 |
CLXXIV | 291 |
CLXXV | 294 |
CLXXVI | 295 |
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
abelian algebra B-morphism B₁ B₂ bijection C₁ C₂ calculate characteristic classes Chern classes clutching map cofunctor cohomology commutative diagram compact complex vector bundle Corollary cross section CW-complex defined Definition denote E₁ elements exact sequence exists fibre bundle fibre homotopy fibre map following commutative diagram following diagram functor G-module G-space H-space homeomorphism homotopy classes homotopy equivalence Hopf invariant inclusion induced isomorphism KO(X Let f line bundle linear locally trivial manifold map f map g mod G module monomorphism Moreover multiplication n-dimensional notations orthogonal paracompact space phism polynomial principal G-bundle Proof properties proves the proposition proves the theorem quotient relation Remark restriction ring semigroup semiring SO(n Spin(n statement Stiefel-Whitney class structure SU(n subgroup subspace tangent bundle theory topology total space transition functions trivial bundle unique v₁ Vect vector bundle morphism vector fields vector space Weyl group x₁ Z₂
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.