Knowledge (XXG)

Continuum function

Source 📝

168: 51: 209: 120: 202: 79: 233: 228: 23: 195: 54: 74: 89: 129: 147: 179: 139: 58: 94: 222: 84: 143: 175: 151: 115: 62: 167: 134: 183: 26: 45: 116:"On supercompactness and the continuum function" 114:Cody, Brent; Magidor, Menachem (February 2014). 53:, i.e. raising 2 to the power of κ using 203: 8: 210: 196: 46:{\displaystyle \kappa \mapsto 2^{\kappa }} 133: 37: 25: 106: 7: 164: 162: 65:of a set of the given cardinality. 182:. You can help Knowledge (XXG) by 14: 166: 121:Annals of Pure and Applied Logic 61:, it is the cardinality of the 30: 1: 80:Cardinality of the continuum 250: 161: 144:10.1016/j.apal.2013.09.001 55:cardinal exponentiation 178:-related article is a 47: 48: 75:Continuum hypothesis 24: 16:In mathematics, the 43: 18:continuum function 191: 190: 241: 234:Set theory stubs 229:Cardinal numbers 212: 205: 198: 170: 163: 156: 155: 137: 111: 90:Easton's theorem 52: 50: 49: 44: 42: 41: 249: 248: 244: 243: 242: 240: 239: 238: 219: 218: 217: 216: 160: 159: 113: 112: 108: 103: 71: 59:cardinal number 33: 22: 21: 12: 11: 5: 247: 245: 237: 236: 231: 221: 220: 215: 214: 207: 200: 192: 189: 188: 171: 158: 157: 128:(2): 620–630. 105: 104: 102: 99: 98: 97: 95:Gimel function 92: 87: 82: 77: 70: 67: 40: 36: 32: 29: 13: 10: 9: 6: 4: 3: 2: 246: 235: 232: 230: 227: 226: 224: 213: 208: 206: 201: 199: 194: 193: 187: 185: 181: 177: 172: 169: 165: 153: 149: 145: 141: 136: 131: 127: 123: 122: 117: 110: 107: 100: 96: 93: 91: 88: 86: 83: 81: 78: 76: 73: 72: 68: 66: 64: 60: 56: 38: 34: 27: 19: 184:expanding it 173: 125: 119: 109: 17: 15: 85:Beth number 223:Categories 176:set theory 101:References 57:. Given a 152:0168-0072 135:1306.0449 63:power set 39:κ 31:↦ 28:κ 69:See also 150:  174:This 130:arXiv 180:stub 148:ISSN 140:doi 126:165 20:is 225:: 146:. 138:. 124:. 118:. 211:e 204:t 197:v 186:. 154:. 142:: 132:: 35:2

Index

cardinal exponentiation
cardinal number
power set
Continuum hypothesis
Cardinality of the continuum
Beth number
Easton's theorem
Gimel function
"On supercompactness and the continuum function"
Annals of Pure and Applied Logic
arXiv
1306.0449
doi
10.1016/j.apal.2013.09.001
ISSN
0168-0072
Stub icon
set theory
stub
expanding it
v
t
e
Categories
Cardinal numbers
Set theory stubs

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