Suspension (topology)

（重定向自Suspension functor）

Suspension of a circle. The original space is in blue, and the collapsed end points are in green.

In topology, the suspension SX of a topological space X is the quotient space:

of the product of X with the unit interval I = [0, 1]. Thus, X is stretched into a cylinder and then both ends are collapsed to points. One views X as "suspended" between the end points. One can also view the suspension as two cones on X glued together at their base (or as a quotient of a single cone).

单词	Suspension functor
释义	Suspension functor 英语百科 Suspension (topology) （重定向自Suspension functor） In topology, the suspension SX of a topological space X is the quotient space: of the product of X with the unit interval I = [0, 1]. Thus, X is stretched into a cylinder and then both ends are collapsed to points. One views X as "suspended" between the end points. One can also view the suspension as two cones on X glued together at their base (or as a quotient of a single cone).
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