Knowledge (XXG)

Sheaf of planes

Source 📝

28: 72:
can be seen as a sheaf of planes intersecting in a line at infinity. To distinguish it from the more general definition, the adjective
179: 143: 62: 53: 40: 162: 93: 68: 44: 89: 173: 115: 148: 131: 97: 27: 17: 26: 132:"Classification of Geometries with Projective Metric" 136:Proceedings of the Edinburgh Mathematical Society 76:can be added to it, resulting in the expression 8: 60:When extending the concept of line to the 147: 108: 7: 25: 130:Sommerville, D. M. Y. (1909). 1: 47:. It may also be known as a 196: 43:that have the same common 149:10.1017/S0013091500034763 163:Vitutor: Sheaf of Planes 78:parallel sheaf of planes 32: 30: 39:is the set of all 35:In mathematics, a 33: 180:Planes (geometry) 118:Mathworld Wolfram 16:(Redirected from 187: 165: 160: 154: 153: 151: 127: 121: 113: 63:line at infinity 54:pencil of planes 21: 195: 194: 190: 189: 188: 186: 185: 184: 170: 169: 168: 161: 157: 129: 128: 124: 114: 110: 106: 96:onto sheafs of 94:graph embedding 86: 69:parallel planes 37:sheaf of planes 31:Sheaf of Planes 23: 22: 15: 12: 11: 5: 193: 191: 183: 182: 172: 171: 167: 166: 155: 122: 116:Definition on 107: 105: 102: 101: 100: 92:, a notion of 90:Book embedding 85: 82: 24: 18:Fan (geometry) 14: 13: 10: 9: 6: 4: 3: 2: 192: 181: 178: 177: 175: 164: 159: 156: 150: 145: 141: 137: 133: 126: 123: 120: 119: 112: 109: 103: 99: 95: 91: 88: 87: 83: 81: 79: 75: 71: 70: 65: 64: 58: 56: 55: 50: 49:fan of planes 46: 42: 38: 29: 19: 158: 139: 135: 125: 117: 111: 77: 73: 67: 61: 59: 52: 48: 36: 34: 98:half-planes 66:, a set of 142:: 25–41. 174:Category 84:See also 74:parallel 41:planes 104:Notes 51:or a 45:line 144:doi 176:: 140:28 138:. 134:. 80:. 57:. 152:. 146:: 20:)

Index

Fan (geometry)

planes
line
pencil of planes
line at infinity
parallel planes
Book embedding
graph embedding
half-planes
Definition on Mathworld Wolfram
"Classification of Geometries with Projective Metric"
doi
10.1017/S0013091500034763
Vitutor: Sheaf of Planes
Category
Planes (geometry)

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