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The axiom of determinacy, forcing axioms, and the nonstationary ideal
95: 198: 35:. The axiom, which is to be understood in the context of 174:(1st ed.). Berlin: W. de Gruyter. p. 618. 251: 125:The second clause by itself is referred to as 234: 241: 227: 252: 166: 193: 13: 14: 281: 197: 139:Axiom of projective determinacy 1: 159: 27:is an extension, proposed by 213:. You can help Knowledge by 7: 132: 10: 286: 192: 16:Set theory axiom extension 144:Axiom of real determinacy 47:axiom of dependent choice 83: ⊆ ω, and any 209:-related article is a 53:), states two things: 260:Axioms of set theory 113:, starting with the 94: → ω, the 33:axiom of determinacy 127:ordinal determinacy 109:is to be given the 85:continuous function 61:of real numbers is 29:W. Hugh Woodin 222: 221: 115:discrete topology 277: 270:Set theory stubs 243: 236: 229: 201: 194: 185: 154:Topological game 149:Suslin's problem 111:product topology 75: <  285: 284: 280: 279: 278: 276: 275: 274: 250: 249: 248: 247: 190: 188: 182: 168:Woodin, W. Hugh 162: 135: 44: 17: 12: 11: 5: 283: 273: 272: 267: 262: 246: 245: 238: 231: 223: 220: 219: 202: 187: 186: 180: 163: 161: 158: 157: 156: 151: 146: 141: 134: 131: 123: 122: 66: 40: 15: 9: 6: 4: 3: 2: 282: 271: 268: 266: 263: 261: 258: 257: 255: 244: 239: 237: 232: 230: 225: 224: 218: 216: 212: 208: 203: 200: 196: 195: 191: 183: 177: 173: 169: 165: 164: 155: 152: 150: 147: 145: 142: 140: 137: 136: 130: 128: 120: 116: 112: 108: 104: 100: 97: 93: 89: 86: 82: 78: 74: 71: 67: 64: 60: 56: 55: 54: 52: 48: 43: 38: 34: 30: 26: 22: 215:expanding it 204: 189: 171: 126: 124: 118: 106: 98: 91: 87: 80: 72: 51:real numbers 41: 24: 18: 265:Determinacy 254:Categories 207:set theory 181:311015708X 160:References 103:determined 21:set theory 105:. (Here, 31:, to the 170:(1999). 133:See also 96:preimage 68:For any 90::  70:ordinal 63:∞-Borel 39:plus DC 178:  79:, any 57:Every 205:This 45:(the 211:stub 176:ISBN 49:for 117:on 101:is 59:set 19:In 256:: 129:. 121:.) 37:ZF 25:AD 23:, 242:e 235:t 228:v 217:. 184:. 119:λ 107:λ 99:π 92:λ 88:π 81:A 77:Θ 73:λ 65:. 42:R

Index

set theory
W. Hugh Woodin
axiom of determinacy
ZF
axiom of dependent choice
real numbers
set
∞-Borel
ordinal
Θ
continuous function
preimage
determined
product topology
discrete topology
Axiom of projective determinacy
Axiom of real determinacy
Suslin's problem
Topological game
Woodin, W. Hugh
ISBN
311015708X
Stub icon
set theory
stub
expanding it
v
t
e
Categories

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