Knowledge

List of exceptional set concepts

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49: 205: 44:
is small. There are numerous concepts that have been introduced to study 'small' or 'exceptional' subsets. In the case of sets of
170: 116: 37: 160: 91: 25: 165: 210: 155: 141: 81: 66: 190: 131: 175: 136: 45: 199: 76: 61: 48:, it is possible to define more than one concept of 'density', for example. See also 180: 71: 21: 150: 121: 56: 185: 101: 146: 126: 96: 86: 111: 106: 29: 36:
as 'small', in some definite sense, or 'large' if their
28:, it is very useful to be able to characterise 8: 7: 50:list of properties of sets of reals 14: 18:list of exceptional set concepts 1: 227: 206:Mathematics-related lists 171:Small set (combinatorics) 117:Large set (Ramsey theory) 24:, and in particular in 161:Piecewise syndetic set 92:Cofinal (mathematics) 26:mathematical analysis 166:Schnirelmann density 87:Closed unbounded set 156:Partition regular 142:Nowhere dense set 82:Analytic capacity 67:Almost everywhere 218: 191:Thin set (Serre) 226: 225: 221: 220: 219: 217: 216: 215: 196: 195: 132:Natural density 46:natural numbers 32:of a given set 12: 11: 5: 224: 222: 214: 213: 208: 198: 197: 194: 193: 188: 183: 178: 176:Stationary set 173: 168: 163: 158: 153: 144: 139: 137:Negligible set 134: 129: 124: 119: 114: 109: 104: 99: 94: 89: 84: 79: 74: 69: 64: 59: 13: 10: 9: 6: 4: 3: 2: 223: 212: 209: 207: 204: 203: 201: 192: 189: 187: 184: 182: 179: 177: 174: 172: 169: 167: 164: 162: 159: 157: 154: 152: 148: 145: 143: 140: 138: 135: 133: 130: 128: 125: 123: 120: 118: 115: 113: 110: 108: 105: 103: 100: 98: 95: 93: 90: 88: 85: 83: 80: 78: 77:Almost surely 75: 73: 70: 68: 65: 63: 62:Almost always 60: 58: 55: 54: 53: 51: 47: 43: 39: 35: 31: 27: 23: 19: 181:Syndetic set 127:Measure zero 72:Almost never 41: 33: 17: 15: 22:mathematics 211:Set theory 200:Categories 151:conull set 122:Meagre set 57:Almost all 38:complement 16:This is a 186:Thick set 102:Dense set 147:Null set 97:Cofinite 112:2-large 30:subsets 107:IP set 20:. In 40:in 202:: 149:, 52:. 42:X 34:X

Index

mathematics
mathematical analysis
subsets
complement
natural numbers
list of properties of sets of reals
Almost all
Almost always
Almost everywhere
Almost never
Almost surely
Analytic capacity
Closed unbounded set
Cofinal (mathematics)
Cofinite
Dense set
IP set
2-large
Large set (Ramsey theory)
Meagre set
Measure zero
Natural density
Negligible set
Nowhere dense set
Null set
conull set
Partition regular
Piecewise syndetic set
Schnirelmann density
Small set (combinatorics)

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