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单词 Fibration
释义

Fibration

If is a Fiber Bundle with a Paracompact Topological Space,then satisfies the Homotopy Lifting Property with respect to all TopologicalSpaces. In other words, if is a Homotopy from to , and if is a Lift of the Map with respect to , then has a Lift to a Map withrespect to . Therefore, if you have a Homotopy of a Map into , and if the beginning of it has aLift, then that Lift can be extended to a Lift of the Homotopy itself.


A fibration is a Map between Topological Spaces such that it satisfies the Homotopy Lifting Property.

See also Fiber Bundle, Fiber Space
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更新时间:2025/4/6 5:19:25