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Immersion vs Homeomorphism - What's the difference?

immersion | homeomorphism |

As nouns the difference between immersion and homeomorphism

is that immersion is the act of immersing or the condition of being immersed while homeomorphism is a continuous bijection from one topological space to another, with continuous inverse.

immersion

English

Noun

(en noun)
  • the act of immersing or the condition of being immersed
  • the total submerging of a person in water as an act of baptism
  • (British, Ireland, informal) an immersion heater
  • (mathematics) a smooth map whose differential is everywhere injective, related to the mathematical concept of an embedding
  • (astronomy) The disappearance of a celestial body, by passing either behind another, as in the occultation of a star, or into its shadow, as in the eclipse of a satellite; opposed to emersion.

    • Anagrams

    * ----

    homeomorphism

    English

    Alternative forms

    * homoeomorphism (UK) *

    Noun

    (en noun)
  • (topology) a continuous bijection from one topological space to another, with continuous inverse.
  • (chemistry) a similarity in the crystal structure of unrelated compounds

    • See also

    * ("homeomorphism" on Wikipedia) * diffeomorphism