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Homotopy vs Fibration - What's the difference?

homotopy | fibration |

As nouns the difference between homotopy and fibration

is that homotopy is (topology) a continuous deformation of one continuous function to another while fibration is (algebraic topology) a continuous mapping satisfying the homotopy lifting property with respect to any space.

homotopy

English

(wikipedia homotopy)

Noun

(homotopies)
  • (topology) A continuous deformation of one continuous function to another.
  • (topology) A theory associating a system of groups to each topological space.
  • (topology) A system of groups associated to a topological space.

    • Hyponyms

    * (continuous deformation) isotopy

    fibration

    English

    Noun

    (en noun)
  • (algebraic topology) a continuous mapping satisfying the homotopy lifting property with respect to any space.