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Talk:Density on a manifold

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While the construction given here is good enough for people familiar with associated bundles, I think it would be worthwhile being a bit more explicit. I suggest this because I am a research mathematician trying to get a more theoretical understanding of density bundles and the description given here
379: 140: 405:. I suppose this the end product of the cryptical construction. Gluing together the fibres is not explained here, of course, but perhaps something like this should be added to the article? 471: 130: 259: 106: 466: 444: 443:
Am I correct in saying that a density on a manifold is just the absolute value of a top degree form? If so, why make it so complicated?
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Even for someone familiar with the associated bundle construction, the current definition is incomprehensible. --
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It gives the explicit cocycles. What more would you like to see?
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is the one-dimensional vector space consisting of functions
262: 101:, a collaborative effort to improve the coverage of 373: 315: 8: 47: 362: 343: 327: 322: 310: 298: 276: 261: 49: 19: 7: 163:took a me an hour or so to unravel. 95:This article is within the scope of 38:It is of interest to the following 14: 472:Low-priority mathematics articles 115:Knowledge:WikiProject Mathematics 118:Template:WikiProject Mathematics 82: 72: 51: 20: 439:Clarity - simpler point of view 135:This article has been rated as 368: 336: 323: 311: 304: 266: 1: 109:and see a list of open tasks. 467:B-Class mathematics articles 453:12:45, 11 January 2017 (UTC) 158:More detail on construction 488: 208:22:01, 27 March 2011 (UTC) 188:16:08, 27 March 2011 (UTC) 431:19:55, 22 June 2011 (UTC) 415:18:07, 22 June 2011 (UTC) 385:for every linear mapping 134: 67: 46: 173:22:54, 7 July 2010 (UTC) 141:project's priority scale 98:WikiProject Mathematics 375: 28:This article is rated 376: 260: 121:mathematics articles 220:-density bundle at 371: 90:Mathematics portal 34:content assessment 216:The fibre of the 155: 154: 151: 150: 147: 146: 479: 423: 380: 378: 377: 372: 367: 366: 348: 347: 332: 331: 326: 314: 303: 302: 281: 280: 253: 200: 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 487: 486: 482: 481: 480: 478: 477: 476: 457: 456: 441: 421: 402: 394: 358: 339: 321: 294: 272: 258: 257: 246: 238: 229: 198: 160: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 485: 483: 475: 474: 469: 459: 458: 445:130.149.76.169 440: 437: 436: 435: 434: 433: 422:Sławomir Biały 400: 392: 383: 382: 381: 370: 365: 361: 357: 354: 351: 346: 342: 338: 335: 330: 325: 320: 317: 313: 309: 306: 301: 297: 293: 290: 287: 284: 279: 275: 271: 268: 265: 244: 236: 213: 212: 211: 210: 199:Sławomir Biały 191: 190: 159: 156: 153: 152: 149: 148: 145: 144: 133: 127: 126: 124: 107:the discussion 94: 93: 77: 65: 64: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 484: 473: 470: 468: 465: 464: 462: 455: 454: 450: 446: 438: 432: 428: 424: 419:Sounds good. 418: 417: 416: 412: 408: 404: 396: 388: 384: 363: 359: 355: 352: 349: 344: 340: 333: 328: 318: 307: 299: 295: 291: 288: 285: 282: 277: 273: 269: 263: 256: 255: 254:that satisfy 252: 248: 240: 232: 227: 223: 219: 215: 214: 209: 205: 201: 195: 194: 193: 192: 189: 185: 181: 177: 176: 175: 174: 170: 166: 157: 142: 138: 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 442: 398: 390: 386: 250: 242: 234: 230: 225: 221: 217: 180:81.99.202.66 161: 137:Low-priority 136: 96: 62:Low‑priority 40:WikiProjects 112:Mathematics 103:mathematics 59:Mathematics 461:Categories 407:Lapasotka 165:BenWhale 139:on the 30:B-class 36:scale. 241:×...× 449:talk 427:talk 411:talk 204:talk 184:talk 169:talk 316:det 131:Low 463:: 451:) 429:) 413:) 353:… 334:μ 286:… 264:μ 206:) 186:) 171:) 447:( 425:( 409:( 403:M 401:x 399:T 397:→ 395:M 393:x 391:T 389:: 387:A 369:) 364:n 360:X 356:, 350:, 345:1 341:X 337:( 329:s 324:| 319:A 312:| 308:= 305:) 300:n 296:X 292:A 289:, 283:, 278:1 274:X 270:A 267:( 251:R 249:→ 247:M 245:x 243:T 239:M 237:x 235:T 233:: 231:μ 226:M 224:∈ 222:x 218:s 202:( 182:( 167:( 143:. 42::

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BenWhale
talk
22:54, 7 July 2010 (UTC)
81.99.202.66
talk
16:08, 27 March 2011 (UTC)
Sławomir Biały
talk
22:01, 27 March 2011 (UTC)
Lapasotka
talk
18:07, 22 June 2011 (UTC)
Sławomir Biały
talk
19:55, 22 June 2011 (UTC)
130.149.76.169
talk

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