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homotopy lifting property (Definition)

A map $f:X \to Y$ satisfies the homotopy lifting property if given any space $A$ and a map $g:A \to X$ and a homotopy $h$ of $f \circ g$ we have a homotopy $h'$ of $g$ satisfying $f \circ h'=h$




"homotopy lifting property" is owned by whm22.
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See Also: fibre map, fibre bundle, locally trivial bundle, long exact sequence (locally trivial bundle), fibre map, homotopy extension property

Also defines:  homotopy lifting property
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Cross-references: homotopy, map
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This is version 3 of homotopy lifting property, born on 2006-01-11, modified 2006-01-13.
Object id is 7561, canonical name is HomotopyLiftingProperty.
Accessed 2868 times total.

Classification:
AMS MSC55R65 (Algebraic topology :: Fiber spaces and bundles :: Generalizations of fiber spaces and bundles)

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