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Talk:Fixed-point property

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84: 74: 53: 22: 208:"In 1932 Borsuk asked whether compactness together with contractibility could be a necessary and sufficient condition for the FPP to hold." What does necessary mean here? Clearly, there are non-contractible spaces with FPP, such as even real projective spaces. 140: 236: 130: 231: 157:
What is meant by "universal" in the statement "A topological space has the fixed point property if and only if its identity map is universal."?
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Y there is a point x in X, such that f(x) = g(x). It's unclear whether it adds anything to the article since it's a tautology in this case.
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Are there any examples of two spaces with the fixed point property whose product does not?
158: 225: 102: 217: 198: 183: 166: 79: 15: 101:, a collaborative effort to improve the coverage of 8: 19: 47: 173:Y is universal if for any map g: X -: --> 49: 7: 95:This article is within the scope of 38:It is of interest to the following 14: 237:Low-priority mathematics articles 115:Knowledge:WikiProject Mathematics 232: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. 218:02:10, 21 August 2011 (UTC) 199:17:15, 3 October 2008 (UTC) 184:02:10, 21 August 2011 (UTC) 167:17:08, 3 October 2008 (UTC) 253: 134: 67: 46: 141:project's priority scale 98:WikiProject Mathematics 28:This article is rated 121:mathematics articles 204:Necessary condition 90:Mathematics portal 34:content assessment 172:A map f: X -: --> 155: 154: 151: 150: 147: 146: 244: 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 252: 251: 247: 246: 245: 243: 242: 241: 222: 221: 206: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 250: 248: 240: 239: 234: 224: 223: 205: 202: 187: 186: 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: 249: 238: 235: 233: 230: 229: 227: 220: 219: 215: 211: 203: 201: 200: 196: 192: 185: 181: 177: 171: 170: 169: 168: 164: 160: 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: 207: 188: 156: 137:Low-priority 136: 96: 62:Low‑priority 40:WikiProjects 112:Mathematics 103:mathematics 59:Mathematics 30:Start-class 226:Categories 210:Terminus0 176:Terminus0 191:Gandalf 159:Gandalf 139:on the 36:scale. 214:talk 195:talk 180:talk 163:talk 131:Low 228:: 216:) 197:) 182:) 165:) 212:( 193:( 178:( 161:( 143:. 42::

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Gandalf
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17:08, 3 October 2008 (UTC)
Terminus0
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02:10, 21 August 2011 (UTC)
Gandalf
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17:15, 3 October 2008 (UTC)
Terminus0
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02:10, 21 August 2011 (UTC)
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