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Band sum

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369: 279: 239: 179: 139: 199: 410: 444: 353: 332: 434: 403: 449: 396: 308: 244: 204: 439: 144: 104: 32: 20: 429: 349: 328: 343: 322: 380: 184: 423: 296: 376: 368: 384: 247: 207: 187: 147: 107: 273: 233: 193: 173: 133: 295:A band sum is thus a generalization of the usual 404: 8: 292:-dimensional knot obtained by this surgery. 411: 397: 327:, Cambridge University Press, p. 90, 265: 252: 246: 225: 212: 206: 186: 165: 152: 146: 125: 112: 106: 76: + 1)-dimensional 1-handle 52: + 1)-dimensional 1-handle 7: 365: 363: 14: 274:{\displaystyle p_{1}\sqcup p_{2}} 234:{\displaystyle K_{1}\sqcup K_{2}} 367: 174:{\displaystyle p_{2}\in K_{2}} 134:{\displaystyle p_{1}\in K_{1}} 1: 383:. You can help Knowledge by 321:Cromwell, Peter R. (2004), 466: 362: 16:Method of connecting knots 445:Operations on structures 348:, Springer, p. 31, 342:Kawauchi, Akio (1996), 309:Manifold decomposition 275: 235: 195: 175: 135: 435:Differential topology 345:Survey on Knot Theory 276: 236: 196: 176: 136: 245: 205: 185: 145: 105: 377:knot theory-related 271: 231: 191: 171: 131: 64:-dimensional knot 21:geometric topology 450:Knot theory stubs 392: 391: 194:{\displaystyle h} 101:There are points 457: 413: 406: 399: 371: 364: 358: 337: 280: 278: 277: 272: 270: 269: 257: 256: 240: 238: 237: 232: 230: 229: 217: 216: 200: 198: 197: 192: 180: 178: 177: 172: 170: 169: 157: 156: 140: 138: 137: 132: 130: 129: 117: 116: 465: 464: 460: 459: 458: 456: 455: 454: 420: 419: 418: 417: 356: 341: 335: 324:Knots and Links 320: 317: 305: 261: 248: 243: 242: 221: 208: 203: 202: 201:is attached to 183: 182: 161: 148: 143: 142: 121: 108: 103: 102: 93: 86: 47: 40: 17: 12: 11: 5: 463: 461: 453: 452: 447: 442: 437: 432: 422: 421: 416: 415: 408: 401: 393: 390: 389: 372: 361: 360: 354: 339: 333: 316: 313: 312: 311: 304: 301: 283: 282: 268: 264: 260: 255: 251: 228: 224: 220: 215: 211: 190: 168: 164: 160: 155: 151: 128: 124: 120: 115: 111: 99: 94:) embedded in 91: 84: 80:connected to ( 45: 38: 15: 13: 10: 9: 6: 4: 3: 2: 462: 451: 448: 446: 443: 441: 438: 436: 433: 431: 428: 427: 425: 414: 409: 407: 402: 400: 395: 394: 388: 386: 382: 379:article is a 378: 373: 370: 366: 357: 355:9783764351243 351: 347: 346: 340: 336: 334:9780521548311 330: 326: 325: 319: 318: 314: 310: 307: 306: 302: 300: 298: 297:connected sum 293: 291: 287: 266: 262: 258: 253: 249: 226: 222: 218: 213: 209: 188: 166: 162: 158: 153: 149: 126: 122: 118: 113: 109: 100: 97: 90: 83: 79: 75: 72:There is an ( 71: 70: 69: 67: 63: 59: 55: 51: 44: 37: 34: 31:-dimensional 30: 26: 22: 385:expanding it 374: 344: 323: 294: 289: 285: 284: 95: 88: 81: 77: 73: 65: 61: 57: 53: 49: 42: 35: 28: 24: 18: 440:Knot theory 68:such that: 424:Categories 315:References 299:of knots. 181:such that 48:along an ( 259:⊔ 219:⊔ 159:∈ 119:∈ 56:called a 430:Topology 303:See also 25:band sum 288:is the 87:,  27:of two 352:  331:  241:along 60:is an 375:This 33:knots 381:stub 350:ISBN 329:ISBN 141:and 58:band 41:and 23:, a 19:In 426:: 412:e 405:t 398:v 387:. 359:. 338:. 290:n 286:K 281:. 267:2 263:p 254:1 250:p 227:2 223:K 214:1 210:K 189:h 167:2 163:K 154:2 150:p 127:1 123:K 114:1 110:p 98:. 96:S 92:2 89:K 85:1 82:K 78:h 74:n 66:K 62:n 54:h 50:n 46:2 43:K 39:1 36:K 29:n

Index

geometric topology
knots
connected sum
Manifold decomposition
Knots and Links
ISBN
9780521548311
Survey on Knot Theory
ISBN
9783764351243
Stub icon
knot theory-related
stub
expanding it
v
t
e
Categories
Topology
Differential topology
Knot theory
Operations on structures
Knot theory stubs

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