Knowledge

Complex line

Source 📝

222: 73:" commonly refers to the graphical representation of the complex line on the real plane, and is thus generally synonymous with the complex line, not the 263: 192: 166: 127: 158: 187:, IAS/Park City Mathematics Series, vol. 13, Providence, RI: American Mathematical Society, p. 9, 256: 287: 74: 292: 249: 117: 184:
Geometric Combinatorics: Lectures from the Graduate Summer School held in Park City, UT, 2004
182: 152: 202: 137: 8: 86: 48: 237: 282: 188: 162: 123: 40: 198: 133: 36: 25: 233: 96: 91: 276: 70: 56: 32: 28: 17: 63: 52: 229: 154:
Introduction to Complex Analysis: Functions of Several Variables
221: 39:. A common point of confusion is that while a complex line has 157:, Translations of mathematical monographs, vol. 110, 181:
Miller, Ezra; Reiner, Victor; Sturmfels, Bernd (2007),
180: 116:Brass, Peter; Moser, William; Pach, János (2005), 274: 115: 257: 264: 250: 62:, and is topologically equivalent to a 275: 150: 119:Research Problems in Discrete Geometry 216: 151:Shabat, Boris Vladimirovich (1992), 122:, Springer, New York, p. 305, 13: 14: 304: 220: 174: 144: 109: 1: 159:American Mathematical Society 102: 236:. You can help Knowledge by 7: 80: 10: 309: 215: 75:complex coordinate plane 51:"), it has ordinary 66:, not a real line. 87:Algebraic geometry 245: 244: 194:978-0-8218-3736-8 47:(hence the term " 41:complex dimension 300: 288:Complex analysis 266: 259: 252: 230:geometry-related 224: 217: 207: 205: 178: 172: 171: 148: 142: 140: 113: 308: 307: 303: 302: 301: 299: 298: 297: 273: 272: 271: 270: 213: 211: 210: 195: 179: 175: 169: 149: 145: 130: 114: 110: 105: 83: 37:complex numbers 29:affine subspace 26:one-dimensional 12: 11: 5: 306: 296: 295: 293:Geometry stubs 290: 285: 269: 268: 261: 254: 246: 243: 242: 225: 209: 208: 193: 173: 167: 143: 128: 107: 106: 104: 101: 100: 99: 97:Riemann sphere 94: 92:Complex vector 89: 82: 79: 9: 6: 4: 3: 2: 305: 294: 291: 289: 286: 284: 281: 280: 278: 267: 262: 260: 255: 253: 248: 247: 241: 239: 235: 232:article is a 231: 226: 223: 219: 218: 214: 204: 200: 196: 190: 186: 185: 177: 170: 168:9780821819753 164: 161:, p. 3, 160: 156: 155: 147: 139: 135: 131: 129:9780387299297 125: 121: 120: 112: 108: 98: 95: 93: 90: 88: 85: 84: 78: 76: 72: 71:complex plane 67: 65: 61: 58: 55:two over the 54: 50: 46: 42: 38: 34: 30: 27: 23: 19: 238:expanding it 227: 212: 183: 176: 153: 146: 118: 111: 68: 59: 57:real numbers 44: 33:vector space 22:complex line 21: 15: 18:mathematics 277:Categories 103:References 64:real plane 53:dimension 43:one over 35:over the 283:Geometry 81:See also 203:2383123 138:2163782 201:  191:  165:  136:  126:  228:This 69:The " 31:of a 24:is a 234:stub 189:ISBN 163:ISBN 124:ISBN 49:line 20:, a 16:In 279:: 199:MR 197:, 134:MR 132:, 77:. 265:e 258:t 251:v 240:. 206:. 141:. 60:R 45:C

Index

mathematics
one-dimensional
affine subspace
vector space
complex numbers
complex dimension
line
dimension
real numbers
real plane
complex plane
complex coordinate plane
Algebraic geometry
Complex vector
Riemann sphere
Research Problems in Discrete Geometry
ISBN
9780387299297
MR
2163782
Introduction to Complex Analysis: Functions of Several Variables
American Mathematical Society
ISBN
9780821819753
Geometric Combinatorics: Lectures from the Graduate Summer School held in Park City, UT, 2004
ISBN
978-0-8218-3736-8
MR
2383123
Stub icon

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