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James reduced product

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268: 309: 328: 302: 200: 51: 333: 295: 283: 215: 189: 252: 8: 240: 232: 40: 224: 248: 279: 55: 322: 236: 21: 244: 185: 166: 155: 146:). In other words, its underlying set is the free monoid generated by 228: 199:
The commutative analogue of the James reduced product is called the
275: 17: 267: 320: 213:James, I. M. (1955), "Reduced product spaces", 303: 310: 296: 321: 70:, ... obtained by identifying points ( 212: 159: 262: 13: 180:) has the same homotopy type as ΩΣ 14: 345: 266: 1: 206: 282:. You can help Knowledge by 172:, the James reduced product 7: 10: 350: 261: 201:infinite symmetric product 154:). It was introduced by 216:Annals of Mathematics 46:with given basepoint 26:James reduced product 329:Algebraic topology 30:James construction 291: 290: 219:, Second Series, 41:topological space 341: 312: 305: 298: 276:topology-related 270: 263: 255: 165:For a connected 349: 348: 344: 343: 342: 340: 339: 338: 319: 318: 317: 316: 259: 229:10.2307/2007107 209: 145: 136: 126: 116: 109: 100: 86: 76: 12: 11: 5: 347: 337: 336: 334:Topology stubs 331: 315: 314: 307: 300: 292: 289: 288: 271: 257: 256: 208: 205: 156:Ioan James 141: 131: 121: 114: 105: 95: 81: 74: 58:of all powers 56:disjoint union 20:, a branch of 9: 6: 4: 3: 2: 346: 335: 332: 330: 327: 326: 324: 313: 308: 306: 301: 299: 294: 293: 287: 285: 281: 278:article is a 277: 272: 269: 265: 264: 260: 254: 250: 246: 242: 238: 234: 230: 226: 222: 218: 217: 211: 210: 204: 202: 197: 195: 191: 187: 183: 179: 175: 171: 168: 163: 161: 157: 153: 149: 144: 140: 134: 130: 124: 120: 113: 108: 104: 98: 94: 90: 84: 80: 73: 69: 65: 61: 57: 53: 49: 45: 42: 38: 34: 31: 27: 23: 19: 284:expanding it 273: 258: 220: 214: 198: 193: 181: 177: 173: 169: 164: 151: 147: 142: 138: 132: 128: 122: 118: 111: 106: 102: 96: 92: 88: 82: 78: 71: 67: 63: 59: 47: 43: 36: 32: 29: 25: 15: 223:: 170–197, 150:(with unit 22:mathematics 323:Categories 207:References 190:suspension 186:loop space 167:CW complex 237:0003-486X 125:−1 110:) with ( 85:−1 52:quotient 18:topology 253:0073181 245:2007107 188:of the 158: ( 54:of the 50:is the 39:) of a 251:  243:  235:  184:, the 24:, the 274:This 241:JSTOR 137:,..., 117:,..., 101:,..., 77:,..., 280:stub 233:ISSN 160:1955 225:doi 192:of 162:). 28:or 16:In 325:: 249:MR 247:, 239:, 231:, 221:62 203:. 196:. 135:+1 127:, 99:+1 66:, 62:, 311:e 304:t 297:v 286:. 227:: 194:X 182:X 178:X 176:( 174:J 170:X 152:e 148:X 143:n 139:x 133:k 129:x 123:k 119:x 115:1 112:x 107:n 103:x 97:k 93:x 91:, 89:e 87:, 83:k 79:x 75:1 72:x 68:X 64:X 60:X 48:e 44:X 37:X 35:( 33:J

Index

topology
mathematics
topological space
quotient
disjoint union
Ioan James
1955
CW complex
loop space
suspension
infinite symmetric product
Annals of Mathematics
doi
10.2307/2007107
ISSN
0003-486X
JSTOR
2007107
MR
0073181
Stub icon
topology-related
stub
expanding it
v
t
e
Categories
Algebraic topology
Topology stubs

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