Fibre Bundles, 20. kötetSpringer Science & Business Media, 1994 - 353 oldal 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. |
Tartalomjegyzék
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 |
CLXXXVIII | 314 |
CLXXXIX | 318 |
CXC | 319 |
CXCI | 322 |
CXCII | 326 |
CXCIII | 329 |
CXCIV | 333 |
CXCV | 337 |
| 339 | |
CXCVII | 348 |
Más kiadások - Összes megtekintése
Gyakori szavak és kifejezések
a₁ algebra B-morphism B₁ bijection c₁ calculate characteristic classes Chern classes clutching map cofunctor cohomology commutative diagram compact Corollary cross section CW-complex defined Definition denote e₁ elements exact sequence exists f₁ fibre bundle fibre homotopy fibre map following commutative diagram following diagram functor G-module G-space G₁(F H-space h₁ homeomorphism homotopy classes homotopy equivalence Hopf invariant inclusion induced isomorphism K₁ KO(X Let f line bundle linear locally trivial manifold map f map 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 restriction ring semigroup semiring SO(n Spin(n statement Stiefel-Whitney class structure subgroup subspace tangent bundle theory topology total space transition functions trivial bundle u₁ unique V₁ Vect vector bundle morphism vector fields vector space Weyl group x₁ ξ₁ ξο
Népszerű szakaszok
346. oldal - 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.
346. oldal - Espaces fibres en spheres et carres de Steenrod. Ann. Ecole Norm. Sup., 69 (1952), 109-181.
341. oldal - 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).
345. oldal - 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'.
339. oldal - 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.