Cone (topology)

（重定向自Reduced cone）

Cone of a circle. The original space is in blue, and the collapsed end point is in green.

In topology, especially algebraic topology, the cone CX of a topological space X is the quotient space:

of the product of X with the unit interval I = [0, 1]. Intuitively we make X into a cylinder and collapse one end of the cylinder to a point.

If X sits inside Euclidean space, the cone on X is homeomorphic to the union of lines from X to another point. That is, the topological cone agrees with the geometric cone when defined. However, the topological cone construction is more general.

单词	Reduced cone
释义	Reduced cone 英语百科 Cone (topology) （重定向自Reduced cone） In topology, especially algebraic topology, the cone CX of a topological space X is the quotient space: of the product of X with the unit interval I = [0, 1]. Intuitively we make X into a cylinder and collapse one end of the cylinder to a point. If X sits inside Euclidean space, the cone on X is homeomorphic to the union of lines from X to another point. That is, the topological cone agrees with the geometric cone when defined. However, the topological cone construction is more general.
随便看	sodium cerium carbonate sodium cerous nitrate sodium cerous orthophosphate sodium cetanesulfonate sodium cetostearyl sulfate Sodium Cetostearylsulfate Sodium Cetostearylsulphate sodium cetyl alcohol sulfate sodium cetylsulfate sodium cetyl sulfate Sodium Cetylsulphate sodium cevitamate Sodium CEZ sodium chabazite Sodium channel Sodium channel blockers Sodium channel inhibitor sodium channel neurotoxin receptor site Sodium channels Sodium Chaulmoograte Sodium Chenodeoxycholate Sodium Chiniofon sodium chloraluminate sodium chlorate sodium chlorate candle