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Topic: Homotopy lifting property

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Homotopy

Fiber bundle

	Lift - Wikipedia, the free encyclopedia
		Lift (soft drink) - a carbonated soft drink by The Coca-Cola Company made with fruit juice.
		In mathematics, the lift of a curve to the covering space is defined through the homotopy lifting property.
		In ballet, lifts are an important part of partnering and pas de deux.
	en.wikipedia.org /wiki/Lift (131 words)

	Homotopy lifting property -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-18)
		It is designed to support the picture of X 'above' Y, by allowing a (Click link for more info and facts about homotopy) homotopy taking place in Y to be moved 'upstairs' to X.
		The homotopy lifting property will hold in many situations, such as the projection in a (Click link for more info and facts about vector bundle) vector bundle, where there need be no unique way of lifting.
		a lift of that map on X × 0, and a lift on Y × [0,1] such that the two lifts agree on Y × 0, the lift can be extended to a lift of the (Click link for more info and facts about homotopy) homotopy.
	www.absoluteastronomy.com /encyclopedia/h/ho/homotopy_lifting_property.htm (248 words)

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