Knowledge

Inverse bundle

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180: 93: 58: 117: 129: 229: 234: 67: 37: 239: 8: 210: 102: 193: 223: 206: 190: 186: 61: 24: 120: 28: 175:{\displaystyle E\oplus E'\cong M\times \mathbb {R} ^{n}.\,} 132: 105: 70: 40: 174: 111: 87: 52: 221: 171: 158: 205: 222: 27:is its inverse with respect to the 13: 14: 251: 123:is a trivial bundle, namely if 88:{\displaystyle E'\rightarrow M} 79: 53:{\displaystyle E\rightarrow M} 44: 1: 212:Vector Bundles & K-Theory 199: 196:base has an inverse bundle. 7: 10: 256: 16:Topology in mathematics 176: 113: 89: 54: 230:Differential topology 177: 114: 90: 55: 130: 103: 68: 38: 19:In mathematics, the 235:Algebraic topology 172: 109: 85: 50: 112:{\displaystyle E} 247: 216: 181: 179: 178: 173: 167: 166: 161: 146: 118: 116: 115: 110: 94: 92: 91: 86: 78: 59: 57: 56: 51: 255: 254: 250: 249: 248: 246: 245: 244: 220: 219: 202: 162: 157: 156: 139: 131: 128: 127: 104: 101: 100: 71: 69: 66: 65: 39: 36: 35: 17: 12: 11: 5: 253: 243: 242: 240:Vector bundles 237: 232: 218: 217: 215:(2.0 ed.) 207:Hatcher, Allen 201: 198: 183: 182: 170: 165: 160: 155: 152: 149: 145: 142: 138: 135: 108: 97:inverse bundle 95:is called the 84: 81: 77: 74: 49: 46: 43: 21:inverse bundle 15: 9: 6: 4: 3: 2: 252: 241: 238: 236: 233: 231: 228: 227: 225: 214: 213: 208: 204: 203: 197: 195: 192: 188: 187:vector bundle 168: 163: 153: 150: 147: 143: 140: 136: 133: 126: 125: 124: 122: 106: 98: 82: 75: 72: 63: 47: 41: 32: 30: 26: 22: 211: 184: 96: 62:fibre bundle 33: 25:fibre bundle 20: 18: 121:Whitney sum 64:. A bundle 31:operation. 29:Whitney sum 224:Categories 200:References 194:Hausdorff 154:× 148:≅ 137:⊕ 119:if their 80:→ 45:→ 209:(2003), 144:′ 76:′ 191:compact 189:over a 60:be a 23:of a 185:Any 34:Let 99:of 226:: 169:. 164:n 159:R 151:M 141:E 134:E 107:E 83:M 73:E 48:M 42:E

Index

fibre bundle
Whitney sum
fibre bundle
Whitney sum
vector bundle
compact
Hausdorff
Hatcher, Allen
Vector Bundles & K-Theory
Categories
Differential topology
Algebraic topology
Vector bundles

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