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Talk:Covering lemma

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84: 74: 53: 22: 140: 171:"? Consider the set ω₁∪{ω₂}. This is an uncountable set of ordinals of cardinality ℵ₁+1 = ℵ₁, and yet no ordinal smaller than ω₂+1 will contain every member of this set. -- 200: 130: 195: 106: 97: 58: 33: 21: 39: 83: 163:"for every uncountable set x of ordinals, there is y such that y⊃x, y has the same cardinality as x," 178: 105:
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89: 73: 52: 172: 189: 167:
I may be missing something, but shouldn't this specify instead "the same cardinality
102: 79: 181: 15: 101:, a collaborative effort to improve the coverage of 8: 19: 47: 49: 7: 95:This article is within the scope of 38:It is of interest to the following 14: 201:Low-priority mathematics articles 115:Knowledge:WikiProject Mathematics 196:Start-Class mathematics articles 118:Template:WikiProject Mathematics 82: 72: 51: 20: 135:This article has been rated as 1: 109:and see a list of open tasks. 182:12:18, 29 October 2017 (UTC) 169:as the largest members of x 217: 134: 67: 46: 141:project's priority scale 98:WikiProject Mathematics 28:This article is rated 158:re covering property 121:mathematics articles 90:Mathematics portal 34:content assessment 155: 154: 151: 150: 147: 146: 208: 175: 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 216: 215: 211: 210: 209: 207: 206: 205: 186: 185: 173: 160: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 214: 212: 204: 203: 198: 188: 187: 165: 164: 159: 156: 153: 152: 149: 148: 145: 144: 133: 127: 126: 124: 107:the discussion 94: 93: 77: 65: 64: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 213: 202: 199: 197: 194: 193: 191: 184: 183: 180: 176: 170: 162: 161: 157: 142: 138: 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 168: 166: 137:Low-priority 136: 96: 62:Low‑priority 40:WikiProjects 112:Mathematics 103:mathematics 59:Mathematics 30:Start-class 190:Categories 174:Trɔpʏliʊm 139:on the 36:scale. 179:blah 131:Low 192:: 177:• 143:. 42::

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Trɔpʏliʊm
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12:18, 29 October 2017 (UTC)
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