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Simplicial manifold

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commonly refers to one of several loosely defined objects, commonly appearing in the study of
342: 250: 170: 283: 174: 142: 385: 316: 218: 198: 154: 28: 269: 214: 330: 338: 246: 178: 150: 166: 146: 134: 22: 346: 286: 299: 153:. There is no standard usage of this term in 366: 8: 57:. Unsourced material may be challenged and 373: 359: 291: 285: 121:Learn how and when to remove this message 233:A simplicial object built from manifolds 217:that contain that point as a vertex) is 205:. This is essentially the concept of a 145:. These objects combine attributes of a 7: 327: 325: 157:, and so the concept can refer to a 55:adding citations to reliable sources 345:. You can help Knowledge (XXG) by 14: 329: 237:A simplicial manifold is also a 213:of each vertex (i.e. the set of 185:A manifold made out of simplices 27: 249:. This is a special case of a 209:. This can mean simply that a 165:, or one of several different 1: 311:-simplices. More generally, 189:A simplicial manifold is a 418: 324: 261:-simplices is a manifold. 15: 207:triangulation in topology 163:piecewise linear manifold 159:triangulation in topology 16:Not to be confused with 392:Structures on manifolds 301: 302: 300:{\displaystyle G^{n}} 195:geometric realization 70:"Simplicial manifold" 284: 203:topological manifold 51:improve this article 253:in which, for each 177:to the category of 173:or the category of 139:simplicial manifold 18:Symplectic manifold 297: 191:simplicial complex 354: 353: 280:has the manifold 239:simplicial object 131: 130: 123: 105: 409: 375: 368: 361: 339:geometry-related 333: 326: 307:as its space of 306: 304: 303: 298: 296: 295: 274:simplicial nerve 264:For example, if 251:simplicial space 171:category of sets 169:from either the 149:with those of a 126: 119: 115: 112: 106: 104: 63: 31: 23: 417: 416: 412: 411: 410: 408: 407: 406: 397:Simplicial sets 382: 381: 380: 379: 322: 287: 282: 281: 257:, the space of 235: 187: 175:simplicial sets 127: 116: 110: 107: 64: 62: 48: 32: 21: 12: 11: 5: 415: 413: 405: 404: 402:Geometry stubs 399: 394: 384: 383: 378: 377: 370: 363: 355: 352: 351: 334: 294: 290: 234: 231: 193:for which the 186: 183: 143:Regge calculus 129: 128: 35: 33: 26: 13: 10: 9: 6: 4: 3: 2: 414: 403: 400: 398: 395: 393: 390: 389: 387: 376: 371: 369: 364: 362: 357: 356: 350: 348: 344: 341:article is a 340: 335: 332: 328: 323: 320: 318: 314: 310: 292: 288: 279: 275: 271: 267: 262: 260: 256: 252: 248: 244: 240: 232: 230: 228: 225:-dimensional 224: 220: 216: 212: 208: 204: 200: 196: 192: 184: 182: 180: 176: 172: 168: 164: 160: 156: 152: 148: 144: 140: 136: 125: 122: 114: 103: 100: 96: 93: 89: 86: 82: 79: 75: 72: –  71: 67: 66:Find sources: 60: 56: 52: 46: 45: 41: 36:This article 34: 30: 25: 24: 19: 347:expanding it 336: 321: 317:Lie groupoid 312: 308: 277: 265: 263: 258: 254: 236: 222: 219:homeomorphic 211:neighborhood 199:homeomorphic 188: 138: 132: 117: 108: 98: 91: 84: 77: 65: 49:Please help 37: 272:, then the 155:mathematics 137:, the term 386:Categories 81:newspapers 315:can be a 270:Lie group 247:manifolds 215:simplices 179:manifolds 38:does not 243:category 167:functors 151:manifold 111:May 2014 241:in the 161:, or a 147:simplex 135:physics 95:scholar 59:removed 44:sources 97:  90:  83:  76:  68:  337:This 268:is a 221:to a 201:to a 102:JSTOR 88:books 343:stub 227:ball 74:news 42:any 40:cite 276:of 245:of 197:is 133:In 53:by 388:: 319:. 229:. 181:. 374:e 367:t 360:v 349:. 313:G 309:n 293:n 289:G 278:G 266:G 259:n 255:n 223:n 124:) 118:( 113:) 109:( 99:· 92:· 85:· 78:· 61:. 47:. 20:.

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Symplectic manifold

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physics
Regge calculus
simplex
manifold
mathematics
triangulation in topology
piecewise linear manifold
functors
category of sets
simplicial sets
manifolds
simplicial complex
geometric realization
homeomorphic
topological manifold
triangulation in topology

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