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Hypertopology

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onto its image. As a consequence, a copy of the original space
277: 307: 66: 102: 39:(or a space equipped with a hypertopology) is a 103:{\displaystyle i:x\mapsto {\overline {\{x\}}},} 327: 8: 174:Lucchetti, Roberto; Angela Pasquale (1994). 127:Early examples of hypertopology include the 88: 82: 210:Topologies on closed and closed convex sets 334: 320: 79: 65: 242:Vietoris, L. (1921). "Stetige Mengen". 176:"A New Approach to a Hyperspace Theory" 166: 55:, equipped with a topology so that the 244:Monatshefte fΓΌr Mathematik und Physik 51:subsets of another topological space 7: 288: 286: 231:. Berlin and Leipzig: W. de Gruyter. 25: 290: 76: 1: 273:Comparison of Hypertopologies 306:. You can help Knowledge by 120:lives inside its hyperspace 92: 43:, which consists of the set 374: 285: 214:Kluwer Academic Publishers 183:Journal of Convex Analysis 227:Hausdorff, F. (1927). 150:Kuratowski convergence 104: 105: 18:Hyperspace (topology) 64: 155:Wijsman convergence 29:mathematical branch 256:10.1007/BF01702717 145:Hausdorff distance 100: 315: 314: 208:Beer, G. (1994). 133:Vietoris topology 95: 47:of all non-empty 41:topological space 16:(Redirected from 365: 336: 329: 322: 300:topology-related 294: 287: 260: 259: 239: 233: 232: 224: 218: 217: 205: 199: 198: 196: 194: 180: 171: 129:Hausdorff metric 109: 107: 106: 101: 96: 91: 80: 21: 373: 372: 368: 367: 366: 364: 363: 362: 343: 342: 341: 340: 283: 269: 264: 263: 241: 240: 236: 226: 225: 221: 207: 206: 202: 192: 190: 178: 173: 172: 168: 163: 141: 81: 62: 61: 23: 22: 15: 12: 11: 5: 371: 369: 361: 360: 358:Topology stubs 355: 345: 344: 339: 338: 331: 324: 316: 313: 312: 295: 281: 280: 278:Hyperspacewiki 275: 268: 267:External links 265: 262: 261: 234: 219: 200: 165: 164: 162: 159: 158: 157: 152: 147: 140: 137: 99: 94: 90: 87: 84: 78: 75: 72: 69: 24: 14: 13: 10: 9: 6: 4: 3: 2: 370: 359: 356: 354: 351: 350: 348: 337: 332: 330: 325: 323: 318: 317: 311: 309: 305: 302:article is a 301: 296: 293: 289: 284: 279: 276: 274: 271: 270: 266: 257: 253: 249: 245: 238: 235: 230: 223: 220: 215: 211: 204: 201: 188: 184: 177: 170: 167: 160: 156: 153: 151: 148: 146: 143: 142: 138: 136: 134: 130: 125: 123: 119: 115: 114:homeomorphism 110: 97: 85: 73: 70: 67: 59: 58: 57:canonical map 54: 50: 46: 42: 38: 34: 30: 19: 308:expanding it 297: 282: 247: 243: 237: 228: 222: 209: 203: 191:. Retrieved 189:(2): 173–193 186: 182: 169: 126: 121: 117: 111: 60: 52: 44: 36: 26: 250:: 173–204. 229:Mengenlehre 347:Categories 193:20 January 161:References 37:hyperspace 93:¯ 77:↦ 353:Topology 139:See also 33:topology 27:In the 49:closed 298:This 179:(PDF) 122:CL(X) 112:is a 45:CL(X) 304:stub 195:2013 131:and 124:. 35:, a 252:doi 31:of 349:: 248:31 246:. 212:. 185:. 181:. 135:. 335:e 328:t 321:v 310:. 258:. 254:: 216:. 197:. 187:1 118:X 98:, 89:} 86:x 83:{ 74:x 71:: 68:i 53:X 20:)

Index

Hyperspace (topology)
mathematical branch
topology
topological space
closed
canonical map
homeomorphism
Hausdorff metric
Vietoris topology
Hausdorff distance
Kuratowski convergence
Wijsman convergence
"A New Approach to a Hyperspace Theory"
Kluwer Academic Publishers
doi
10.1007/BF01702717
Comparison of Hypertopologies
Hyperspacewiki
Stub icon
topology-related
stub
expanding it
v
t
e
Categories
Topology
Topology stubs

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