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Dendrite (mathematics)

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261: 42: 104: 124: 302: 152:, American Mathematical Society Colloquium Publications, vol. 28, New York: American Mathematical Society, p. 88, 185: 295: 326: 321: 61: 331: 276: 288: 175: 147: 143: 213: 157: 35: 8: 241: 31: 109: 245: 230: 201: 181: 28: 24: 171: 209: 153: 272: 315: 238:, a related concept defined using metric spaces instead of topological spaces 208:, Studies in Nonlinearity, Addison-Wesley Publishing Company, p. 294, 58:. For example, if 0 is pre-periodic, but not periodic, under the function 235: 55: 268: 260: 41: 248:, two more general types of tree-like topological space 112: 64: 180:, Universitext, vol. 69, Springer, p. 94, 118: 98: 313: 54:Dendrites may be used to model certain types of 170: 296: 206:An Introduction to Chaotic Dynamical Systems 126:is a dendrite: connected, without interior. 303: 289: 40: 200: 142: 38:that contains no simple closed curves. 34:or equivalently as a locally connected 314: 27:that may be characterized either as a 255: 13: 14: 343: 259: 174:; Gamelin, Theodore W. (1993), 194: 164: 136: 74: 68: 1: 129: 49: 275:. You can help Knowledge by 99:{\displaystyle f(z)=z^{2}+c} 7: 224: 10: 348: 254: 16:Locally connected dendroid 106:, then the Julia set of 144:Whyburn, Gordon Thomas 120: 100: 46: 121: 101: 44: 23:is a certain type of 110: 62: 242:Dendroid (topology) 202:Devaney, Robert L. 116: 96: 47: 45:Dendrite Julia set 19:In mathematics, a 284: 283: 246:unicoherent space 231:Misiurewicz point 172:Carleson, Lennart 149:Analytic Topology 119:{\displaystyle f} 29:locally connected 25:topological space 339: 327:Trees (topology) 322:Continuum theory 305: 298: 291: 269:topology-related 263: 256: 218: 216: 198: 192: 190: 177:Complex Dynamics 168: 162: 160: 140: 125: 123: 122: 117: 105: 103: 102: 97: 89: 88: 347: 346: 342: 341: 340: 338: 337: 336: 312: 311: 310: 309: 252: 227: 222: 221: 199: 195: 188: 169: 165: 141: 137: 132: 111: 108: 107: 84: 80: 63: 60: 59: 52: 17: 12: 11: 5: 345: 335: 334: 332:Topology stubs 329: 324: 308: 307: 300: 293: 285: 282: 281: 264: 250: 249: 239: 233: 226: 223: 220: 219: 193: 186: 163: 134: 133: 131: 128: 115: 95: 92: 87: 83: 79: 76: 73: 70: 67: 51: 48: 15: 9: 6: 4: 3: 2: 344: 333: 330: 328: 325: 323: 320: 319: 317: 306: 301: 299: 294: 292: 287: 286: 280: 278: 274: 271:article is a 270: 265: 262: 258: 257: 253: 247: 243: 240: 237: 234: 232: 229: 228: 215: 211: 207: 203: 197: 189: 187:9780387979427 183: 179: 178: 173: 167: 159: 155: 151: 150: 145: 139: 135: 127: 113: 93: 90: 85: 81: 77: 71: 65: 57: 43: 39: 37: 33: 30: 26: 22: 277:expanding it 266: 251: 205: 196: 176: 166: 148: 138: 53: 20: 18: 316:Categories 130:References 50:Importance 236:Real tree 56:Julia set 36:continuum 225:See also 204:(1989), 146:(1942), 32:dendroid 21:dendrite 214:1046376 158:0007095 212:  184:  156:  267:This 273:stub 244:and 182:ISBN 318:: 210:MR 154:MR 304:e 297:t 290:v 279:. 217:. 191:. 161:. 114:f 94:c 91:+ 86:2 82:z 78:= 75:) 72:z 69:( 66:f

Index

topological space
locally connected
dendroid
continuum

Julia set
Whyburn, Gordon Thomas
Analytic Topology
MR
0007095
Carleson, Lennart
Complex Dynamics
ISBN
9780387979427
Devaney, Robert L.
MR
1046376
Misiurewicz point
Real tree
Dendroid (topology)
unicoherent space
Stub icon
topology-related
stub
expanding it
v
t
e
Categories
Continuum theory

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