homotopy

Homotopy vs Perturbation - What's the difference?

As nouns the difference between homotopy and perturbation

is that homotopy is (topology) a continuous deformation of one continuous function to another while perturbation is (uncountable) agitation; the state of being perturbed.

Homotopy vs Homology - What's the difference?

homotopy | homology |

In topology terms the difference between homotopy and homology

is that homotopy is a system of groups associated to a topological space while homology is a theory associating a system of groups to each topological space.

Homotopy vs Homomorphism - What's the difference?

homotopy | homomorphism |

As nouns the difference between homotopy and homomorphism

is that homotopy is (topology) a continuous deformation of one continuous function to another while homomorphism is (algebra) a structure-preserving map between two algebraic structures, such as groups, rings, or vector spaces.

Homotopy vs Homeomorphism - What's the difference?

homotopy | homeomorphism |

In topology terms the difference between homotopy and homeomorphism

is that homotopy is a system of groups associated to a topological space while homeomorphism is a continuous bijection from one topological space to another, with continuous inverse.

Homotropy vs Homotopy - What's the difference?

homotropy | homotopy |

As nouns the difference between homotropy and homotopy

is that homotropy is (botany) a disposition of opposed, asymmetric leaves where a pair of leaves]] is [[rotational symmetry|rotationally symetric while homotopy is (topology) a continuous deformation of one continuous function to another.

Homotypy vs Homotopy - What's the difference?

homotypy | homotopy |

As nouns the difference between homotypy and homotopy

is that homotypy is (biology|dated) serial homology while homotopy is (topology) a continuous deformation of one continuous function to another.

Homotopy vs Homotops - What's the difference?

homotopy | homotops |

As nouns the difference between homotopy and homotops

is that homotopy is (topology) a continuous deformation of one continuous function to another while homotops is .

Homotopy vs Homotop - What's the difference?

homotopy | homotop |

As nouns the difference between homotopy and homotop

is that homotopy is a continuous deformation of one continuous function to another while homotop is any of a group of structures related by homotopy.

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 vs Homotope - What's the difference?

homotopy | homotope |

As a noun homotopy

is (topology) a continuous deformation of one continuous function to another.

As a verb homotope is

(topology|transitive) to define or demonstrate a homotopy of (one map with another).