Knowledge (XXG)

Puncture (topology)

Source đź“ť

181: 222: 154: 149:. Pure and Applied Mathematics. Vol. 89. Translated by Goldman, Michael A. New York & London: Academic Press. p. 12. 215: 31: 57:
from that manifold. The set of points can be small as a single point. In this case, the manifold is known as
246: 208: 77: 69: 241: 150: 140: 192: 85: 54: 164: 160: 136: 81: 235: 144: 50: 17: 180: 188: 46: 38: 73: 103: 101: 196: 61:. With the removal of a second point, it becomes 119: 107: 80:(which is a sphere with two punctures), and the 216: 8: 68:Examples of punctured manifolds include the 223: 209: 97: 7: 177: 175: 195:. You can help Knowledge (XXG) by 25: 27:Removal of points from a manifold 179: 1: 76:with a single puncture), the 120:Seifert & Threlfall 1980 108:Seifert & Threlfall 1980 263: 174: 32:Puncturing (coding theory) 29: 88:with a single puncture). 30:Not to be confused with 146:A Textbook of Topology 141:Threlfall, William 204: 203: 16:(Redirected from 254: 225: 218: 211: 189:topology-related 183: 176: 168: 137:Seifert, Herbert 123: 117: 111: 105: 86:projective plane 21: 262: 261: 257: 256: 255: 253: 252: 251: 232: 231: 230: 229: 172: 157: 135: 132: 127: 126: 118: 114: 106: 99: 94: 63:twice-punctured 35: 28: 23: 22: 15: 12: 11: 5: 260: 258: 250: 249: 247:Topology stubs 244: 234: 233: 228: 227: 220: 213: 205: 202: 201: 184: 170: 169: 155: 131: 128: 125: 124: 112: 96: 95: 93: 90: 59:once-punctured 49:is removing a 26: 24: 18:Once-punctured 14: 13: 10: 9: 6: 4: 3: 2: 259: 248: 245: 243: 240: 239: 237: 226: 221: 219: 214: 212: 207: 206: 200: 198: 194: 191:article is a 190: 185: 182: 178: 173: 166: 162: 158: 156:0-12-634850-2 152: 148: 147: 142: 138: 134: 133: 129: 122:, p. 12. 121: 116: 113: 110:, p. 29. 109: 104: 102: 98: 91: 89: 87: 83: 79: 75: 71: 66: 65:, and so on. 64: 60: 56: 52: 48: 44: 40: 33: 19: 197:expanding it 186: 171: 145: 130:Bibliography 115: 84:(which is a 82:Möbius strip 72:(which is a 67: 62: 58: 42: 36: 236:Categories 92:References 51:finite set 43:puncturing 70:open disk 242:Topology 143:(1980). 78:cylinder 47:manifold 39:topology 165:0575168 163:  153:  74:sphere 55:points 187:This 193:stub 151:ISBN 53:of 37:In 238:: 161:MR 159:. 139:; 100:^ 45:a 41:, 224:e 217:t 210:v 199:. 167:. 34:. 20:)

Index

Once-punctured
Puncturing (coding theory)
topology
manifold
finite set
points
open disk
sphere
cylinder
Möbius strip
projective plane


Seifert & Threlfall 1980
Seifert & Threlfall 1980
Seifert, Herbert
Threlfall, William
A Textbook of Topology
ISBN
0-12-634850-2
MR
0575168
Stub icon
topology-related
stub
expanding it
v
t
e
Categories

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑